T-TEST & WILCOXON QUIZ

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A simple activity to test our understanding on T-TEST and WILCOXON

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DR WARID MIHAT

Malasia

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T-TEST & WILCOXON QUIZ


T-TEST & WILCOXON QUIZVersión en línea A simple activity to test our understanding on T-TEST and WILCOXON por DR WARID MIHAT 1 In a paired samples t-test, what is the primary null hypothesis (H0)? a The mean of the first sample is significantly larger than the mean of the second sample. b The standard deviation of the first sample is equal to the standard deviation of the second sample. c The two samples are independent and come from different populations. d The mean of the differences between the paired observations is zero. 2 Which of the following is a strict requirement for performing a paired samples t-test? a The data must be nominal or categorical. b The differences between the paired values must be normally distributed. c The sample size must be greater than 100 participants. d The variances of the two groups must be significantly different from each other. 3 How are the degrees of freedom (df) calculated for a paired samples t-test with a sample size of n pairs? a n b n-1 c n+1 d 2n+2 4 In which scenario would the Wilcoxon signed-rank test be preferred over the paired samples t-test? a When the differences between pairs are not normally distributed. b When the samples are independent rather than paired. c When the data is metric and perfectly follows a normal distribution. d When the researcher wants a test with higher statistical power to detect small differences. 5 What is the first step in calculating the Wilcoxon signed-rank test after finding the differences between pairs? a Divide the positive differences by the negative differences. b Calculate the mean and standard deviation of the raw differences. c Rank the differences based on their absolute values, ignoring the signs. d Square each difference to remove negative values. 6 If a researcher obtains a p-value of 0.11 in a two-tailed t-test with a significance level of α=0.05, what should they conclude? a The sample size was too large to yield a meaningful result. b They reject the null hypothesis; the medication had a significant effect. c They fail to reject the null hypothesis; there is no significant difference. d There is an 11% chance that the alternative hypothesis is true. 7 What is meant by the 'test power' of a statistical test? a The maximum value the $t$-statistic can reach in a given distribution. b The ability of a test to correctly reject the null hypothesis when it is actually false. c The mathematical complexity of the formulas used in the test. d The likelihood that the null hypothesis is true before the study begins. 8 In the context of a one-tailed (directed) hypothesis test for a blood pressure medication, what would the alternative hypothesis (H1) likely state? a The medication has no impact on blood pressure levels. b There is some unspecified change in blood pressure after taking the medication. c The variance of blood pressure remains constant after treatment. d The blood pressure after taking the medication is lower than before. 9 When calculating the Wilcoxon signed-rank test, what happens to pairs that have a difference of exactly zero? a The entire test is invalidated and cannot be completed. b They are typically excluded from the calculation of the rank sums. c They are assigned the highest possible rank in the set. d They are treated as positive differences by default. 10 In the context of a paired samples t-test, which scenario best describes 'paired samples'? a The same group of participants measured at two different time points. b Four different groups receiving four different dosages of a medication. c single group of participants compared against a known population mean. d Two groups of different people being compared at the same time point.

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T-TEST & WILCOXON QUIZ

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T-TEST & WILCOXON QUIZVersión en línea

por DR WARID MIHAT

In a paired samples t-test, what is the primary null hypothesis (H0)?

Which of the following is a strict requirement for performing a paired samples t-test?

How are the degrees of freedom (df) calculated for a paired samples t-test with a sample size of n pairs?

In which scenario would the Wilcoxon signed-rank test be preferred over the paired samples t-test?

What is the first step in calculating the Wilcoxon signed-rank test after finding the differences between pairs?

If a researcher obtains a p-value of 0.11 in a two-tailed t-test with a significance level of α=0.05, what should they conclude?

What is meant by the 'test power' of a statistical test?

In the context of a one-tailed (directed) hypothesis test for a blood pressure medication, what would the alternative hypothesis (H1) likely state?

When calculating the Wilcoxon signed-rank test, what happens to pairs that have a difference of exactly zero?

In the context of a paired samples t-test, which scenario best describes 'paired samples'?