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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

If other factors are held constant, explain how each of the following influences the value of the independent- measures t statistic and the likelihood of rejecting the full hypothesis:

a. An increase in the mean difference between the samples.

b. An increase in the number of scores in each sample.

c. An increase in the variance for each sample.

a.

To determine

To Describe: How the t-statistics, likelihood of rejecting null and measures of effect size affected when mean difference between the samples is increased.

Explanation

Justification:

We know that variance influences the magnitude of the estimated standard error in the denominator of the t-statistics as:

t=(M1M2)(μ1μ2)sM1M2s

b.

To determine

To Describe: How the t-statistics and the likelihood of rejecting null affected when sample size is increased.

c.

To determine

To Describe: How the t-statistics and the likelihood of rejecting null affected when variance is increased.

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