Inferential Statistics for Data Science

Descrição

A basic quiz on Inferential Statistics.
Vishakha Achmare
Quiz por Vishakha Achmare, atualizado more than 1 year ago
Vishakha Achmare
Criado por Vishakha Achmare quase 4 anos atrás
20
0

Resumo de Recurso

Questão 1

Questão
Select the right answer. With the help of inferential statistics, we can :
Responda
  • Making conclusions from a sample about the population
  • Conclude if a sample selected is statistically significant to the whole population or not
  • Compare two models to find which one is more statistically significant as compared to the other.
  • We can do feature selection, whether adding or removing a variable helps in improving the model or not.
  • Hypothesis testing.
  • All

Questão 2

Questão
Standard Error is the amount of variation in the _________ data. It is related to Standard Deviation as σ/√n, where, n is the _________ size.
Responda
  • Sample
  • Population

Questão 3

Questão
A Sampling Distribution is a probability distribution of a statistic (Mean/Median/Mode) obtained through a large number of samples drawn from a specific population.
Responda
  • True
  • False

Questão 4

Questão
A Sampling Distribution behaves much like a normal curve and has some interesting properties like :
Responda
  • The shape of the Sampling Distribution does not reveal anything about the shape of the population.
  • Sampling Distribution helps to estimate the population statistic.
  • Both.

Questão 5

Questão
Central Limit Theorem states that: When plotting a sampling distribution of means, the mean of sample means will be equal to the population mean. And the sampling distribution will approach a normal distribution with variance equal to σ/√n where σ is the standard deviation of population and n is the sample size.
Responda
  • False
  • True

Questão 6

Questão
Greater the sample size, lower the standard error and greater the accuracy in determining the population mean from the sample mean?
Responda
  • False
  • True

Questão 7

Questão
No matter the shape of the population distribution, be it bi-modal, right-skewed, etc. The shape of the Sampling Distribution will remain the same (normal curve)?
Responda
  • True
  • False

Questão 8

Questão
For a sampling distribution: The number of samples has to be sufficient (generally more than 50) to satisfactorily achieve a normal curve distribution. We also have to keep the sample size fixed since any change in sample size will change the shape of the sampling distribution and it will no longer be bell-shaped?
Responda
  • False
  • True

Questão 9

Questão
As we increase the sample size, the sampling distribution squeezes from both sides giving a better estimate of the population statistic since it lies somewhere in the middle of the sampling distribution (generally).
Responda
  • False
  • True

Questão 10

Questão
The confidence interval is a type of interval estimate from the ___________ distribution which gives a range of values in which the population statistic may lie.
Responda
  • Sampling
  • Population

Questão 11

Questão
The margin of error is a statistic expressing the amount of random sampling error in the results of a survey.
Responda
  • True
  • False

Questão 12

Questão
Margin of Error________ the width of Confidence Interval
Responda
  • 1/2
  • 1/4th

Questão 13

Questão
Which of the following points are true for confidence intervals?
Responda
  • Confidence Intervals can be built with different degrees of confidence suitable to a user’s needs like 70 %, 90% etc.
  • Greater the sample size, smaller the Confidence Interval
  • There are different confidence intervals for different sample means. For example, a sample mean of 40 will have a different confidence interval from a sample mean of 45.
  • 95% Confidence Interval, does not mean that the probability of a population mean to lie in an interval is 95%. Instead, 95% C.I means that 95% of the Interval estimates will contain the population statistic.
  • All of the above.

Questão 14

Questão
Hypothesis testing lets us identify ________ statistic to be checked against a _________ statistic or statistic of another sample to study any intervention etc.
Responda
  • Sample, Population
  • Population, Sample

Questão 15

Questão
Null hypothesis is a type of hypothesis in which we assume that sample observations are not by chance. They are affected by some non-random situation. It is denoted by H1 or Ha.
Responda
  • True
  • False

Questão 16

Questão
Alternate Hypothesis is a type of hypothesis in which we assume that the sample observations are purely by chance. It is denoted by H0.
Responda
  • True
  • False

Questão 17

Questão
Hypothesis Testing is done on different levels of confidence and makes use of z-score to calculate the probability.
Responda
  • False
  • True

Questão 18

Questão
For a 95% Confidence Interval, anything above the z-threshold for 95% would reject the null hypothesis.
Responda
  • False
  • True

Questão 19

Questão
Write down the steps to hypothesis testing.
Responda
  • write your answer down.
  • check them later after the quiz.

Questão 20

Questão
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is ________.
Responda
  • True
  • False

Questão 21

Questão
p-value is the probability of obtaining results at least as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.
Responda
  • True
  • False

Questão 22

Questão
Low enough p-value is ground for rejecting the null hypothesis. We reject the null hypothesis if the p-value is less than the significance level?
Responda
  • False
  • True

Questão 23

Questão
Type-1 error: Type 1 error is the case when we fail to reject the null hypothesis but actually it is false. The probability of having a type-1 error is called beta(β).
Responda
  • False
  • True

Questão 24

Questão
Type-2 error: Type 2 error is the case when we reject the null hypothesis but in actual it was true. The probability of having a Type-2 error is called significance level alpha(α).
Responda
  • True
  • False

Questão 25

Questão
For Type 1 and Type 2 error: α= P (Null hypothesis rejected | Null hypothesis is true) β= P (Null hypothesis accepted | Null hypothesis is false)
Responda
  • True
  • False

Questão 26

Questão
Power of test is defined as P= 1- Type-2 error = 1 – β Lesser the type-2 error more the power of the hypothesis test.
Responda
  • True
  • False

Questão 27

Questão
For a Z - test: 1. A Z-test is mainly used when the data is normally distributed. 2. We find the Z-statistic of the sample means and calculate the z-score. 3. Z-test is mainly used when the population mean and standard deviation are given.
Responda
  • True
  • False

Questão 28

Questão
T-tests are similar to the z-scores, the only difference being that instead of the Population Standard Deviation, we use the Sample Standard Deviation?
Responda
  • True
  • False

Questão 29

Questão
Z-tests are statistical calculations that can be used to compare population means to a sample's. T-tests are calculations used to test a hypothesis, but they are most useful when we need to determine if there is a statistically significant difference between two independent sample groups.
Responda
  • True
  • False

Questão 30

Questão
The Degree of Freedom is the number of __________that have the choice of having more than one arbitrary value.
Responda
  • Variable
  • Sample

Questão 31

Questão
Select the True statement
Responda
  • 1. Greater the difference between the sample mean and the population mean, greater the chance of rejecting the Null Hypothesis.
  • 2. Greater the sample size, greater the chance of rejection of Null Hypothesis.
  • Both

Questão 32

Questão
One-sample t-test compares the mean of _________ data to a known value.
Responda
  • Sample
  • Population

Questão 33

Questão
Which of the following points are true for One Sample T- test?
Responda
  • Determine whether the mean of a group differs from the specified value.
  • Calculate a range of values that are likely to include the population mean.
  • We can run a one-sample T-test when we do not have the population S.D. or we have a sample of size less than 30.
  • All of them.

Questão 34

Questão
We use a two-sample T-test when we want to evaluate whether the mean of the two independent samples is different or not.
Responda
  • False
  • True

Questão 35

Questão
Two-sample T-test is used to:
Responda
  • Determine whether the means of two independent groups differ.
  • Calculate a range of values that is likely to include the difference between the population means.
  • Both

Questão 36

Questão
Points to be noted for two sample T-test are: 1. The groups to be tested should be __________ 2. The groups’ distribution should not be highly _________.
Responda
  • Independent, Skewed
  • Dependent, Normal

Questão 37

Questão
A Independent Samples t-test compare the means for ______ different groups? Samples are __________ of each other?
Responda
  • Two, Independent
  • Same, Dependent

Questão 38

Questão
A Paired sample t-test compares means from the ______ group at different times? Samples are _________ on each other?
Responda
  • Same, Dependent
  • Two, Independent

Questão 39

Questão
ANOVA is used to determine whether there are any statistically significant differences between the means of ________ independent (unrelated) groups.
Responda
  • One
  • Two
  • Three or more

Questão 40

Questão
A one-way ANOVA has ______ independent variable, while a two-way ANOVA has ______.
Responda
  • One, Two
  • Two, One

Questão 41

Questão
Write down the steps to perform ANOVA.
Responda
  • Write down the answers
  • Check them later

Questão 42

Questão
Practical applications of ANOVA in modeling are:
Responda
  • Identifying whether a categorical variable is relevant to a continuous variable.
  • Identifying whether a treatment was effective to the model or not.
  • Both.

Questão 43

Questão
The Chi-Square Test determines whether there is an association between _______ variables (i.e., whether the variables are independent or related).
Responda
  • Categorical
  • Continuous

Questão 44

Questão
Goodness of fit: It compares two categorical variables to find whether they are related with each other or not.
Responda
  • True
  • False

Questão 45

Questão
Test of Independence: It determines if sample data of categorical variables matches with population or not.
Responda
  • True
  • False

Questão 46

Questão
Regression analysis is a form of predictive modelling technique which investigates the relationship between a ___________ (target) and __________ variable (s) (predictor).
Responda
  • Dependent, Independent
  • Independent, Dependent

Questão 47

Questão
The regression sum of squares describes how well a regression model represents the modeled data. A higher regression sum of squares indicates that the model does not fit the data well?
Responda
  • True
  • False

Questão 48

Questão
A residual sum of squares (RSS) is a statistical technique used to measure the amount of_________ in a data set that is not explained by a regression model.
Responda
  • Mean
  • Variance

Questão 49

Questão
Coefficient of Determination (R-Square): It represents the strength of correlation between two variables?
Responda
  • True
  • False

Questão 50

Questão
Correlation Coefficients are used to measure how strong a relationship is between two variables?
Responda
  • True
  • False

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