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Which of the following is an example of a nonparametric test?
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Which of the following is a statistical procedure used to test hypotheses about the discrepancy between the observed and expected frequencies in two or more nominal categories
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A genetics researcher expects 1:1:1:1 across four groups to align with Mendelian ratios.. If 200 people are tested, then what is the expected frequency for each group?
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25 people
-
50 people
-
100 people
-
200 people
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A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to
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reject the null hypothesis
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retain the null hypothesis
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no decision was made
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accept the null hypothesis
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The degrees of freedom for a chi-square goodness-of-fit test are [k=# categories, n=sample size]
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k-1
-
n-1
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(k1 - 1)(k2 - 1)
-
(k - 1)(n - 1)
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As a general rule, the larger the degrees of freedom for a chi-square test
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the smaller the critical value will be
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the larger the critical value will be
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the smaller the level of significance will be
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the larger the level of significance will be
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A researcher conducts a chi-square goodness-of-fit test in which k = 5 (k=# categories). What is the critical value for this test at a .05 level of significance?
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A researcher conducts a chi-square goodness-of-fit test in which k = 3 and x (?) = 4.32. What is the decision for this test at a .05 level of significance?
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Retain the null hypothesis
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Reject the null hypothesis
-
There is not enough information to answer this question.
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A chi-square goodness-of-fit test leads to a decision to retain the null hypothesis. Which of the following correctly explains this decision?
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frequencies observed were significantly different from frequencies expected at each level of the categorical variable
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frequencies observed were significantly different from frequencies expected across the levels of the categorical variable
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frequencies observed were significantly different from frequencies expected within and between expected frequencies
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Frequencies observed were statistically similar to the frequencies expected at each level of the categorical variable
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When computing a chi-square goodness-of-fit test for a 2 x 2 table, the frequency expected in a given cell should never be less than
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the sample size
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the number of cells
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the frequency observed
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five
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The degrees of freedom for a chi-square test for independence test are [k are categories, n are sample size]
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k - 1
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n - 1
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(k1 - 1)(k2 - 1)
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(k - 1)(n - 1)
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A researcher tests whether levels of education and income levels are related. In this study, he observes the following frequencies. If he computes a chi-square test for independence at a .05 level of significance, then what is the decision for this test?
Education Level
High School
Bachelor's Degree
Graduate Degree
Low Income
22
8
5
High Income
8
12
28
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Education and income level are related
-
Education and income level are not related
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Education and income level are independent
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Both B and C are appropriate
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To compute the expected frequencies for a chi-square test for independence, we use which of the following formulas?
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If the expected frequencies equal to observed frequencies for a chi-square test for independence, what do we conclude?
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the degrees of freedom for the test are equal to 0
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the test statistic value is equal to 0
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the frequencies observed fit well with the frequencies expected
-
both B and C
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A researcher conducts two chi-square tests. The 2 2 chi-square was 2 = 3.82. The 2 3 chi-square was 2 = 5.02. Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?
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When assumptions regarding expected cell counts are not met, an alternative test to the chi-square test is:
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17. The chi-square test assumes independence between observations. When the design is matched and we wish to compare two dichotomous variables, which test is appropriate?
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18. For an analysis of variance, the term “one-way” refers to
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A) the number of factors in the design
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B) the number of statistical tests in the design
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C) the number of ways that the data can be analyzed
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D) the direction that traffic should follow on a road
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19. The term “between-subjects” refers to
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A) observing the same participants in each group
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B) observing different participants one time in each group
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C) the type of post hoc test conducted
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D) the type of effect size estimate measured
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20. A lowercase k is used to denote
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A) the number of groups in a study
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B) the number of participants in a study
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C) the number of levels of the factor in a study
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D) both A and C
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21. The source of variability associated with error variance in the one-way between-subjects ANOVA is called
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22. Without changing the value of error variance, the ________ the between-groups variability, the more likely we are to reject the null hypothesis.
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A) larger
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B) smaller
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C) more homogeneous
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D) less spread
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23. What is the minimum number of groups that can be observed using the one-way between-subjects ANOVA design?
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24. A researcher notes that the variability attributed to difference between group means is quite large. Which source of variation is the researcher referring to?
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A) between-persons
-
B) within-groups
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C) between-groups
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D) error
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25. ANOVA stands for,
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26. The degrees of freedom for the between-groups variability is called
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A) degrees of freedom numerator
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B) degrees of freedom denominator
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C) degrees of freedom between-groups
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D) both A and C
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27. The degrees of freedom for error is called
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A) degrees of freedom error
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B) degrees of freedom denominator
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C) degrees of freedom within-groups
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D) all of the above
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28. A researcher compares differences in creatinine between participants in a three treatment groups. If she observes 15 participants in each group, then what are the degrees of freedom for the one-way between-subjects ANOVA?
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A) (2, 12)
-
B) (3, 43)
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C) (2, 42)
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D) (3, 12)
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29. A researcher conducts a study in which k = 5 and N = 80. What are the degrees of freedom between-groups for the one-way between-subjects ANOVA?
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30. A researcher assigned participants (n = 8 per group) to three dose groups. Different participants were assigned to each group and then assessed for a specific biomarker. What is the critical value for the one-way between-subjects ANOVA at a .05 level of significance?
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A) 3.07
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B) 3.44
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C) 3.47
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D) 4.32
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31. Which of the following is an assumption for computing a one-way between-subjects ANOVA?
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A) The population being sampled from is normally distributed.
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B) Participants were selected to participate using a random procedure.
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C) One observation has no effect on the likelihood of another observation.
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D) all of the above
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32. Computing a one-way between-subjects ANOVA is appropriate when
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A) different participants are observed one time in each of two or more groups for one factor
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B) the same participants are observed in each of two or more groups for one factor
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C) the levels of one or more factors are manipulated
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D) all of the above
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33. A researcher divides participants into groups that will engage in low, moderate, or intense levels of exercise. The total calories consumed by participants following the exercise are then recorded. What type of statistical design is appropriate for this study?
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A) a related samples t test
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B) a two-independent sample t test
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C) a one-way between-subjects ANOVA
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D) both B and C
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34. Homogeneity of variance is an assumption for the one-way between-subjects ANOVA. What does this assumption mean?
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A) that the population being sampled from is normally distributed
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B) that participants are randomly selected to participate in a sample
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C) that the variance is equal in each population from which samples are selected
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D) that one observation has no effect on the likelihood of another observation
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35. A researcher randomly assigned 16 rodents to experience one of four levels of shock (n = 4 per group) following the illumination of a visual cue. If SSB = 24 and SSW = 48, then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?
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A) Reject the null hypothesis.
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B) Retain the null hypothesis.
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C) There is not enough information to answer this question.
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D) Do not reject the null hypothesis.
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36. A researcher assigns 21 subjects to 3 treatment groups. An equal number of participants are assigned to each group. If F = 4.08 for this study, then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?
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A) Reject the null hypothesis.
-
B) Retain the null hypothesis.
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C) There is not enough information to answer this question.
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D) Do not reject the null hypothesis
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37. A researcher conducts two studies on self-perception. In Study 1, 24 participants rate how positively they view themselves (on a 5-point scale) in one of three groups (n = 8 per group). In Study 2, the researcher conducts a similar study, except that k = 3 and n = 8. If SSB = 28 and SSE = 42 in both studies, then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?
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A) Study 1
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B) Study 2
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C) both
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D) none
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38. A researcher computes the following one-way between-subjects ANOVA table. State the decision at a .05 level of significance. (Hint: Complete the table first.)
Source of Variation
SS
df
MS
F
Between groups
32
4
Within groups (error)
45
Total
122
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A) Reject the null hypothesis.
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B) Retain the null hypothesis.
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C) Accept the null hypothesis.
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D) There is not enough information to answer this question.
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39. A researcher computes the following one-way between-subjects ANOVA table for a study where k = 3 and n = 12. State the decision at a .05 level of significance. (Hint: Complete the table first.)
Source of Variation
SS
df
MS
F
Between groups
120
Within groups (error)
Total
780
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A) Reject the null hypothesis.
-
B) Retain the null hypothesis.
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C) Accept the null hypothesis.
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D) There is not enough information to answer this question.
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40. In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between-groups in this study?
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A) 10
-
B) 15
-
C) 20
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D) 1.67
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41. When the variability attributed to between-groups is equal to the variability attributed to error, then the value of the test statistic for a one-way between-subjects ANOVA is,
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42. Following a significant one-way between-subjects ANOVA in which k > 2, what is the next appropriate step?
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A) Summarize the data; no further tests are required.
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B) Interpret the data; no further tests are required.
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C) Conduct post hoc tests.
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D) both A and B
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43. Which of the following is not a post hoc test for a one-way between-subjects ANOVA?
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44. Which of the following post hoc tests is associated with the greatest power to detect an effect?
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A) Schaffé test
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B) Tukey's HSD test
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C) Bonferroni test
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D) Fisher's LSD test
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45. Which of the following post hoc tests is associated with the least power to detect an effect?
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46. Post hoc tests are computed
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A) Prior to conducting a hypothesis test.
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B) To determine which set of degrees of freedom can be attributed to the variability between-groups.
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C) Following a significant ANOVA test to make pairwise comparisons.
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D) to determine if groups means differ, even for tests in which the decision is to retain the null hypothesis.
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47. The following is a summary of a one-way between-subjects ANOVA: F(2, 37) = 3.42, p < .05. How many pairwise comparisons need to be made for this ANOVA result?
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48. The following is a summary of a one-way between-subjects ANOVA: F(2, 37) = 3.42, p < .05. How many participants were observed in this study?
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49. The Kruskal-Wallis test is the nonparametric analog to the
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50. The Kruskal-Wallis test can be used to:
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A) compare a ranked outcome by race group (W, AA, Other).
-
B) compare a skewed continuous variable by a categorical variable with four levels.
-
C) compare an interval/ratio variable across more than two groups
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D) All of the above
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51. The Kruskal-Wallis test relies on:
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A) ranked data
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B) raw data
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C) mean values
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D) all of the above
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52. The null hypothesis for the Kruskal-Wallis test is
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A) the difference in ranks for the groups do not differ
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B) the median values for the groups do not differ
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C) the sum of the ranks in each group do not differ
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D) the sum of the ranks in each group do differ
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53. The test statistic used for the Kruskal-Wallis test follows which distribution?
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A) the chi-square distribution with (k-1) degrees of freedom
-
B) the t distribution with (k-1) degrees of freedom
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C) the F distribution with (1, k-1) degrees of freedom
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D) the standard normal distribution
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54. A post-hoc test that can be used following a significant Kruskal-Wallis test is:
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A) Tukey’s LSD test
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B) Bono U2 test
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C) Dunns Q test
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D) Duncin’s HSD test
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55. The correlation coefficient is used to measure the ________ and ________ of the linear relationship between two factors.
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56. The correlation coefficient ranges from -1.0 to +1.0, with values closer to ±1.0 indicating
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A) a more positive relationship between two factors
-
B) a stronger relationship between two factors
-
C) that two factors are less likely to be related
-
D) that the correlation is due to outliers
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57. Which of the following indicates the strongest correlation?
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A) r = -0.57
-
B) r = +0.78
-
C) r = -0.90
-
D) r = +0.88
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58. The following graphs display the data points for two linear correlations. Based on the information provided in these graphs, ________ displays a negative correlation and ________ displays a stronger correlation.
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A) Graph A; Graph B
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B) Graph B; Graph A
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C) Graph A; Graph A
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D) Graph B; Graph B
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59. The numerator of the correlation coefficient measures the extent to which two variables
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A) vary together
-
B) vary independently
-
C) covary
-
D) both A and C
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60. A researcher measures the following correlation between cups of coffee consumed daily and daily work schedule. Which description best explains the relationship between these two factors?
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A) The more a person works, the more coffee he or she tends to drink.
-
B) The less a person works, the more coffee he or she tends to drink.
-
C) The more a person works, the less coffee he or she tends to drink.
-
D) No linear pattern is evident.
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61. The denominator of the correlation coefficient measures the extent to which two variables
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-
A) vary together
-
B) vary independently
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C) covary
-
D) both A and C
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62. The correlation coefficient measures the extent to which changes in one factor are _______ in a second factor.
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A) related to changes
-
B) causing changes
-
C) causing variability
-
D) all of the above
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63. A researcher measures the relationship between narcissism and willingness to help. If SSXY = 240, SSX = 320, and SSY = 410, then what is the value of the correlation coefficient?
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A) 0.002
-
B) 0.02
-
C) 0.66
-
D) 0.69
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64. A researcher measures the relationship between two variables, X and Y. If SSXY = 340 and SSXSSY = 320,000, then what is the value of the correlation coefficient?
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65. Suppose a correlation is computed in each of two samples. If the value of SSXY is the same in each sample, and √SSXSSY is larger in Sample 1, then in which sample will the value of the correlation coefficient be larger?
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66. A researcher measures the following correlation: r = -0.21. What is the value of the coefficient of determination?
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A) 0.04
-
B) -0.04
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C) 0.42
-
D) -0.42
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67. The assumption that there is an equal variance or scatter of data points dispersed along the regression line is referred to as
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-
A) normality
-
B) linearity
-
C) homoscedasticity
-
D) restriction of range
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68. What is the problem with the following data for computing a correlation?
Factor 1
Factor 2
3
3
3
3
3
3
3
3
3
3
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A) The correlation coefficient will equal 0 because it violates the assumption of normality.
-
B) The correlation coefficient will equal 1.0 because it violates the assumption of normality.
-
C) The correlation coefficient will equal 0 because it violates the assumption of linearity.
-
D) The correlation coefficient will equal 1.0 because it violates the assumption of linearity
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69. The normality assumption states that the population of X and Y scores form a bivariate (“two variable”) normal distribution, such that
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-
A) the population of X and Y scores are normally distributed
-
B) for each X score, the distribution of Y scores is normally distributed
-
C) for each Y score, the distribution of X scores is normally distributed
-
D) all of the above
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70. Which of the following is the assumption that the best way to describe the pattern of data is using a straight line?
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-
A) normality
-
B) linearity
-
C) homoscedasticity
-
D) restriction of range
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71. Which of the following is a limitation for interpreting a correlation?
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A) Correlations do not demonstrate cause-and-effect.
-
B) Outliers can change the direction and/or strength of the correlation.
-
C) Conclusions should not be drawn beyond the range of scores measured.
-
D) all of the above
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72. An unanticipated variable not accounted for in a research study that could be causing or associated with observed changes in one or more measured variables is called
Antworten
-
A) reverse causality
-
B) restriction of range
-
C) a confound variable
-
D) homoscedasticity
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73. A researcher observes a correlation of values from 2 to 10 points and draws conclusions about the full range of values in the population from 0 to 21 points. Which limitation for correctly interpreting a correlation coefficient did the researcher violate?
Antworten
-
A) reverse causality
-
B) restriction of range
-
C) a confound variable
-
D) homoscedasticity
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74. Outliers can change the _____ of a correlation.
Antworten
-
A) direction
-
B) strength
-
C) sign (+, -)
-
D) all of the above
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75 A correlation coefficient can ______ demonstrate cause.
Antworten
-
A) always
-
B) never
-
C) mostly
-
D) intermittently
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76. The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ________ variables.
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-
A) nominal
-
B) ordinal
-
C) interval
-
D) ratio
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77. The appropriate correlation coefficient for measuring the direction and strength of the linear relationship between two ranked or ordinal variables is
Antworten
-
A) the Spearman correlation coefficient
-
B) the point-biserial correlation coefficient
-
C) the phi correlation coefficient
-
D) none of the above
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78. A researcher measures the correlation in rankings for a sample of restaurants and consumers' rankings of their favorite restaurants. If D2 = 96 and n = 12, then what is the value of the correlation coefficient?
Antworten
-
A) 0.07
-
B) 0.34
-
C) 0.66
-
D) 0.94
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79. A researcher measures the correlation of the time it take participants to complete two tasks purported to measure the same cognitive skill. Participant times are converted to ranks from fastest to slowest. If D2 = 165 and n = 20, then what is the decision for this correlation test?
Antworten
-
A) Retain the null hypothesis.
-
B) Reject the null hypothesis.
-
C) There is not enough information to answer this question.
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80. To summarize correlations, we report:
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81. Which of the following would not be reported for a correlation?
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-
A) the sample size
-
B) the coefficient of determination
-
C) the critical values for each test
-
D) the strength and direction of the correlation
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82. Select the description below that identifies the following correlation: r = .28, p < .01.
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-
A) the correlation is positive
-
B) the correlation is statistically significant
-
C) the coefficient of determination is .08
-
D) all of the above
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83. A researcher measures the extent to which time spent watching educational preschool television programming predicts success in school. Which variable is the outcome variable in this example?
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84. A researcher measures the extent to which the speed at which people eat (in minutes) predicts calorie intake (in kilocalories). Which factor is the predictor variable in this example?
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86. Which of the following is used to determine the linear equation that “best fits” a set of data points?
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-
A) correlational analysis
-
B) analysis of variance
-
C) analysis of regression
-
D) method of least squares
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85. Linear regression describes the extent to which _______ predicts ________.
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87. Which of the following is used to determine the significance of predictions made by a best fitting linear equation?
Antworten
-
A) correlational analysis
-
B) analysis of variance
-
C) analysis of regression
-
D) method of least squares
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88. A researcher reports the following equation for a best-fitting straight line to a set of data points: Y = -1.01X + 3.24. Which value is the y-intercept?
Antworten
-
A) Y
-
B) X
-
C) ñ1.01
-
D) 3.24
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89. A researcher reports the following equation for a best-fitting straight line to a set of data points: Y = 0.48X + 12.03. Which value is the slope?
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90. If SSXY = -16.32 and SSX = 40.00 for a set of data points, then what is the value of the slope for the best-fitting linear equation?
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91. If b = -0.57, My = 2.75, and Mx = 5.25 for a set of data points, then what is the value of the y-intercept for the best-fitting linear equation?
Antworten
-
A) 0.24
-
B) 11.68
-
C) -0.24
-
D) 5.74
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92. Which of the following is not needed to compute the y-intercept using the method of least squares?
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-
A) My
-
B) Mx
-
C) Mxy
-
D) the slope
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93. Which of the following is not needed to compute the slope using the method of least squares?
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94. A researcher reports the following regression equation for two variables, X and Y: Y = 5.10X - 1.50. If X = 2.30, then what is the value of Y-hat?
Antworten
-
A) 10.23
-
B) 11.73
-
C) 13.23
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95. Using an analysis of regression, the variability in Y that is predicted by X is measured by the
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96. Using an analysis of regression, the variability in Y that is associated with error is measured by the
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97. Both sources of variation in an analysis of regression measure the variability in
Antworten
-
A) X and Y
-
B) X only
-
C) Y only
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98. The more that the variability in ____ is associated with regression variation, the more likely it is that X predicts Y.
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-
A) XY
-
B) X
-
C) Y
-
D) all of the above
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99. Which of the following statements is true regarding the sources of variation present in an analysis of regression?
Antworten
-
A) Regression variation measures variability in X, whereas residual variation measures variability in Y.
-
B) The closer that data points fall to the regression line, the more the variance in Y will be attributed to regression variation.
-
C) There are three sources of variation in an analysis of regression: regression variance, residual variance, and error variance.
-
D) When most of the variability in Y is associated with residual variation, then X predicts Y.
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100. The degrees of freedom associated with regression variation are equal to
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101. The degrees of freedom associated with residual variation are equal to
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102. If the coefficient of determination is 0.32 and SSY = 150, then what is the sum of squares residual for an analysis of regression?
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103. If the coefficient of determination is 0.30 and the sum of squares regression for an analysis of regression is 210, then what is the value of SSY?
Antworten
-
A) 210
-
B) 300
-
C) 490
-
D) 700
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104. In a sample of 22 participants, suppose we conduct an analysis of regression with one predictor variable. If F = 4.07, then what is the decision for this test at a .05 level of significance?
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A) X significantly predicts Y.
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B) X does not significantly predict Y.
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C) There is not enough information to answer this question.
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105. A researcher computes the following analysis of regression table. Based on the data given, what is the decision for this test at a .05 level of significance? (Note: Complete the table first.)
Source of Variation
SS
df
MS
F
Regression
1
28
Residual
Total
118
19
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A) X significantly predicts Y.
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B) X does not significantly predict Y.
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C) There is not enough information to answer this question.
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106. An estimate of the standard deviation or distance that data points fall from the regression line is measured by the
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107. The standard error of estimate is used as a measure of the ________ in predictions using the equation of a regression line.
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A) linearity
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B) appropriateness
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C) accuracy
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D) certainty
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108. What is the computation for the standard error of estimate?
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A) the square root of the mean square regression
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B) the square root of the mean square residual
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C) the mean square regression, squared
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D) the mean square residual, squared
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109. A researcher computes a perfect negative correlation, in which each data point falls exactly on the regression line. In this example, the value of the standard error of estimate will be
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110. A researcher computes an analysis of regression in which MSE = 0.82. What is the value of se in this example?
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111. A researcher computes the following analysis of regression table. Based on the data given, what is the value of the standard error of estimate? (Note: Complete the table first.)
Source of Variation
SS
Df
MS
F
Regression
28
1
5.60
Residual
Total
118
19
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A) 2.24
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B) 5.00
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C) 5.74
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D) 8.49
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112. Multiple regression is a statistical method that includes ____ predictor variable(s) in the equation of the regression line.
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A) zero
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B) one
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C) two
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D) two or more
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113. A statistical method that includes two or more predictor variables in the equation of a regression line to predict changes in a criterion variable is called
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114. One key advantage for including multiple predictor variables in the equation of a regression line is that it allows you to
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A) detect mean differences between groups for each criterion variable
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B) detect the extent to which two or more predictor variables interact
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C) show cause-and-effect because many predictor variables are added
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D) all of the above
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115. Which of the following equations is appropriate for a linear regression with three predictor variables?
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116. For a multiple regression analysis with 2 and 12 degrees of freedom, MS regression is 135 and MS residual is 15. What is the decision for this test?
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A) reject the null hypothesis; the predictive variability of two predictor factors are significant
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B) retain the null hypothesis; the predictive variability of two predictor factors are not significant
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C) reject the null hypothesis; the predictive variability of one predictor factor is significant
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D) retain the null hypothesis; the predictive variability of one predictor factor is significant
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117. The value of b1 and b2 are referred to as,
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118. To standardize the beta coefficients, we first,
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A) analyze the significance of each data point
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B) analyze the residual variation
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C) convert the original data to standardized z scores
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D) compute the standard error of estimate
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119. The equation for the standardized regression equation is,
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120. In addition to evaluating the significance of a multiple regression equation, we also should consider:
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A) the significance of the residual variability
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B) the complexity of the correlation coefficient
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C) the relative contribution of each factor
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D) the significance of each individual data point
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121. If F = 2.04 for the relative contribution of one factor, then what is this value when converted to a t statistic?
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122. To summarize any type of regression analysis, we report each of the following except the,
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A) test statistic
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B) degrees of freedom
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C) p value
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D) critical values
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123. The scores or data points for a regression analysis are typically reported in,
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A) a scatter plot
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B) a bar chart
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C) a pie chart
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D) all of the above