Charlotte Joseph
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MCQ on Analysis of Variance

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Charlotte Joseph
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General ANOVA

Pregunta 1 de 31

1

For an experiment comparing more than two treatment conditions you should use analysis of variance rather than separate t-tests because:

Selecciona una de las siguientes respuestas posibles:

  • You are less likely to make a mistake in the computations of ANOVA

  • A test based on variance is more sensitive than a test based on means

  • ANOVA has less risk of a Type I error because several means are compared in one test

  • ANOVA has less risk of a Type II error because several means are compared in one test

Explicación

Pregunta 2 de 31

1

The null hypothesis for an ANOVA states that

Selecciona una de las siguientes respuestas posibles:

  • There are no differences between any of the population means

  • At least one of the population means is different from the others

  • All the population means are different from each other

  • None of the other 3 choices are correct

Explicación

Pregunta 3 de 31

1

When the null hypothesis is true for ANOVA, what is the expected value for the F-ratio?

Selecciona una de las siguientes respuestas posibles:

  • 0

  • 1.00

  • k-1

  • N-k

Explicación

Pregunta 4 de 31

1

In analysis of variance, the F-ratio is a ratio of:

Selecciona una de las siguientes respuestas posibles:

  • Two (or more) sample means

  • Two variances

  • Sample means divided by sample variances

  • None of the other 3 choices are correct

Explicación

Pregunta 5 de 31

1

In an ANOVA, which of the following is most likely to produce a large value for he F-ratio?

Selecciona una de las siguientes respuestas posibles:

  • Large mean differences and small sample variances

  • Large mean differences and large sample variances

  • Small mean differences and small sample variances

  • Small mean differences and large sample variances

Explicación

Pregunta 6 de 31

1

For an independent-measures experiment comparing two treatment conditions with a sample of n= 10 in each treatment, the F-ratio would have to have df equal to:

Selecciona una de las siguientes respuestas posibles:

  • 18

  • 19

  • 1, 18

  • 1, 19

Explicación

Pregunta 7 de 31

1

A researcher uses analysis of variance to test for mean differences among four treatments with a sample of n=6 in each treatment. The F-ratio for this analysis would have what df values?

Selecciona una de las siguientes respuestas posibles:

  • df= 3,5

  • df= 3,15

  • df= 3,20

  • df= 4, 24

Explicación

Pregunta 8 de 31

1

A researcher reports an F-ratio with df= 3,36 for an independent-measures experiment. How many treatment conditions were compared in this experiment?

Selecciona una de las siguientes respuestas posibles:

  • 3

  • 4

  • 36

  • 39

Explicación

Pregunta 9 de 31

1

A researcher reports an F-ratio with df= 3,36 for an independent-measures experiment. How many individual subjects participated in the experiment?

Selecciona una de las siguientes respuestas posibles:

  • 36

  • 39

  • 40

  • Cannot be determined from the information given

Explicación

Pregunta 10 de 31

1

A factor experiment means that the experimental design includes:

Selecciona una de las siguientes respuestas posibles:

  • Two independent variables

  • Two dependent variables

  • An interaction between the independent and the dependent variable

  • Exactly two separate groups of subjects

Explicación

Pregunta 11 de 31

1

In a two-factor analysis of variance a main effect is defined as:

Selecciona una de las siguientes respuestas posibles:

  • The mean differences among the levels of one factor

  • The mean differences among all treatment conditions

  • The mean differences between the two factors

  • The difference between the largest treatment mean and the smallest treatment mean

Explicación

Pregunta 12 de 31

1

The results from a 2-way ANOVA show that both main effects are significant. We can conclude:

Selecciona una de las siguientes respuestas posibles:

  • That the interaction also must be significant

  • That the interaction cannot be significant

  • There must be an interaction but it may not be statistically significant

  • You can make no conclusions about the significance of the interaction

Explicación

Pregunta 13 de 31

1

Prior to introducing a new cake mix to the public, a food company wishes to determine the combination of baking temperature and baking time that will result in the best tasting cake. In their experiment, cakes made from the new cake mix are baked at 325 degrees F, 350 degrees F, and 400 degrees F for 50 minutes, 60 minutes, 70 minutes and 80 minutes. Taste is rated for each combination of baking temperature and baking time. How many treatments are in the experiment?

Selecciona una de las siguientes respuestas posibles:

  • 12

  • 3

  • 4

  • 7

Explicación

Pregunta 14 de 31

1

In two way ANOVA what should you always look at first?

Selecciona una de las siguientes respuestas posibles:

  • The significance of factor 1

  • The significance of factor 2

  • The interaction between factors 1 and 2

  • None of the above

Explicación

Pregunta 15 de 31

1

To test for an interaction effect the statistic should be:

Selecciona una de las siguientes respuestas posibles:

  • One way ANOVA

  • Two way ANOVA

  • Two way chi-squared

  • None of the above

Explicación

Pregunta 16 de 31

1

A researcher wants to test the differences between three treatment conditions (cognitive-behavioural therapy, aversion therapy and behavioural therapy) by assigning individuals randomly to one of the three conditions. The researcher would need to perform which of the following tests to analyse the results?

Selecciona una de las siguientes respuestas posibles:

  • Repeated measures ANOVA

  • Fisher's exact probability test

  • One-way between groups ANOVA

  • Pearsons r

Explicación

Pregunta 17 de 31

1

THe one way ANOVA is used to test hypothesis concerning:

Selecciona una de las siguientes respuestas posibles:

  • Means tests

  • Standard deviation

  • Mean squares

  • Variance

Explicación

Pregunta 18 de 31

1

ANOVA assumes that the data to be analysed:

Selecciona una de las siguientes respuestas posibles:

  • Has a normal distribution

  • That the data is interval

  • The variances in the groups are similar

  • All of the above

Explicación

Pregunta 19 de 31

1

One way ANOVA should be used when:

Selecciona una de las siguientes respuestas posibles:

  • We want to compare the means of 1 variable from 2 groups

  • We want to compare the means of 2 variables within 2 groups

  • We want to compare 1 variable from more than 2 groups

  • None of these options are correction

Explicación

Pregunta 20 de 31

1

Which of the following is incorrect in relation to ANOVA:

Selecciona una de las siguientes respuestas posibles:

  • ANOVA is relatively robust to small numbers of participants

  • ANOVA is relatively robust to unequal numbers of scores in different conditions

  • ANOVA relatively robust to skewed data

  • All of the above

Explicación

Pregunta 21 de 31

1

ANOVA evaluates how likely it is that any differences in conditions is due to:

Selecciona una de las siguientes respuestas posibles:

  • Sampling

  • Homogeneity of variance

  • Normal distributions

  • The IV

Explicación

Pregunta 22 de 31

1

ANOVA evaluates how likely it is that any differences in conditions is due to:

Selecciona una de las siguientes respuestas posibles:

  • Sampling

  • Homogeneity of variance

  • Normal distributions

  • The IV

Explicación

Pregunta 23 de 31

1

In a study which investigates the differences in contents among 3 different brands of cigarettes an ANOVA was performed which yielded a small p value. Which of the following is correct:

Selecciona una de las siguientes respuestas posibles:

  • Because the p value is small there is evidence that all the brands differ from each other in the mean amount of tar present.

  • Because the p value is small, there is no evidence than any of the brands differ in the mean tar content from the other brands.

  • Because the p value us small, there is evidence that at least one brand has a different mean tar content from the other brands.

  • Because the p value is small, there is evidence that all brands have the same men tar content.

Explicación

Pregunta 24 de 31

1

A large F ratio means:

Selecciona una de las siguientes respuestas posibles:

  • more likelihood the variance is causes by the IV

  • Less likelihood the variance is caused by the IV

  • The sample size used was small

  • The error variance was larger than the IV variance

  • B and D

Explicación

Pregunta 25 de 31

1

For ANOVA the null hypothesis states:

Selecciona una de las siguientes respuestas posibles:

  • For the individuals in the sample there is no consistent difference between treatments

  • For the individuals in the population there is no consistent difference between the treatments

  • For the individuals in the sample there is a consistent difference between the treatments

  • For the individuals in the sample there is a consistent difference between treatments

Explicación

Pregunta 26 de 31

1

If the null hypothesis is true you expect:

Selecciona una de las siguientes respuestas posibles:

  • F to have a value closer to 1

  • F to have a value closer to 0

  • p to have a value > .05

  • p to have a value < .05

Explicación

Pregunta 27 de 31

1

The degrees of freedom for the F test in a one way ANOVA are:

Selecciona una de las siguientes respuestas posibles:

  • (n-c) and (c-1)

  • (c-1) and (n-c)

  • (c-n) and (n-1)

  • (n-1) and (c-n)

Explicación

Pregunta 28 de 31

1

In a one way ANOVA:

Selecciona una de las siguientes respuestas posibles:

  • An interaction is present

  • An interaction can be tested

  • There is no interaction

  • None of the above

Explicación

Pregunta 29 de 31

1

When carrying out an analysis, if the variance due to the IV is greater than the error variance, what does this mean?

Selecciona una de las siguientes respuestas posibles:

  • An error in calculation was made

  • There should have been additional controls in the experiment

  • That there is a consistent difference between treatments

  • That there is no consistent difference between treatments

Explicación

Pregunta 30 de 31

1

What do we call the overall effect of an IV on a DV:

Selecciona una de las siguientes respuestas posibles:

  • Main effect

  • Indirect effect

  • Interaction effect

  • Direct effect

Explicación

Pregunta 31 de 31

1

When the between-groups variance is a lot larger than the within-groups varience, the F-value is _____ and the likelihood of such a result occurring by sampling error _____.

Selecciona una de las siguientes respuestas posibles:

  • Large, decreases

  • Small, decreases

  • Large, increases

  • Small, increases

Explicación

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