Data Science

Statistical Inference Concepts

Question 1
Marks : +2 | -2
Pass Ratio : 100%
Which of the following tool is used for estimating standard errors and the bias of estimators?
knitr
jackknife
ggplot2
all of the mentioned
Explanation:
jackknife involves resampling data.
Question 2
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is the oldest multiple testing correction?
Bonferroni correction
Bernoulli correction
Likelihood correction
All of the mentioned
Explanation:
Bonferroni correction is easy to calculate.
Question 3
Marks : +2 | -2
Pass Ratio : 100%
Power is the probability of rejecting the null hypothesis when it is true.
True
False
Explanation:
Power is the probability of rejecting the null hypothesis when it is false.
Question 4
Marks : +2 | -2
Pass Ratio : 100%
Which of the following value is the most common measure of “statistical significance”?
P
A
L
All of the mentioned
Explanation:
The P-value is the probability under the null hypothesis of obtaining evidence as extreme or more extreme than would be observed by chance alone.
Question 5
Marks : +2 | -2
Pass Ratio : 100%
Point out the correct statement.
Power of a one sided test is lower than the power of the associated two sided test
Power of a two sided test is greater than the power of the associated one sided test
Hypothesis testing is less commonly used
None of the mentioned
Explanation:
Power of a one sided test is greater than the power of the associated two sided test.
Question 6
Marks : +2 | -2
Pass Ratio : 100%
Which of the following tool is used for constructing confidence intervals and calculating standard errors for difficult statistics?
baggyer
bootstrap
jacknife
none of the mentioned
Explanation:
The bootstrap procedure follows from the so called bootstrap principle.
Question 7
Marks : +2 | -2
Pass Ratio : 100%
Which of the following testing is concerned with making decisions using data?
Probability
Hypothesis
Causal
None of the mentioned
Explanation:
The null hypothesis is assumed true and statistical evidence is required to reject it in favor of a research or alternative hypothesis.
Question 8
Marks : +2 | -2
Pass Ratio : 100%
The pooled estimator is a mixture of the group variances, placing greater weight on whichever has a larger sample size.
True
False
Explanation:
If the sample sizes are the same the pooled variance estimate is the average of the group variances.
Question 9
Marks : +2 | -2
Pass Ratio : 100%
What is the purpose of multiple testing in statistical inference?
Minimize errors
Minimize false positives
Minimize false negatives
All of the mentioned
Explanation:
A false positive is an error in some evaluation process in which a condition tested for is mistakenly found to have been detected.
Question 10
Marks : +2 | -2
Pass Ratio : 100%
Point out the wrong statement with respect to FDR.
FDR is difficult to calculate
FDR is relatively less conservative
FDR allows for more false positives
None of the mentioned
Explanation:
FDR stands for false discovery rate.