Exam 11: Correlated Groups T-Test

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A correlated groups t test is analogous to an independent groups t test with the effects of individual differences extracted from the dependent variable.

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What are the assumptions of the correlated groups t test?

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What is a sampling distribution of the mean of difference scores?

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Explain why it is possible to observe a strong relationship between two variables based on the value of eta-squared without obtaining a statistically significant t value.

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If a correlated-groups t test found significant differences due to the independent variable,which of the following procedures would clarify the nature of the relationship?

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In most behavioral science research the estimated standard error for a correlated groups t test is _____than the estimated standard error for the independent groups t test.

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Unlike the independent groups t test,larger sample sizes will not increase the power of the correlated groups t test.

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The correlated groups t test has N - 2 degrees of freedom associated with it.

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Dr.August is investigating whether or not women have more job satisfaction after they are given praise or a gift card (different levels or rewards).She has recruited 10 women from Intel and for 6 months the women received praise then the next 6 months they received a gift card.The conditions were counterbalanced and a survey on job satisfaction was distributed following the treatment conditions or every 6 months until the research was completed.After finishing her study Dr.August was busy writing a grant,therefore she has asked you to analyze her data below.Please note the survey was based on 1-5 Likert scale with high scores indicating high job satisfaction and low score indicating dissatisfaction. Dr.August is investigating whether or not women have more job satisfaction after they are given praise or a gift card (different levels or rewards).She has recruited 10 women from Intel and for 6 months the women received praise then the next 6 months they received a gift card.The conditions were counterbalanced and a survey on job satisfaction was distributed following the treatment conditions or every 6 months until the research was completed.After finishing her study Dr.August was busy writing a grant,therefore she has asked you to analyze her data below.Please note the survey was based on 1-5 Likert scale with high scores indicating high job satisfaction and low score indicating dissatisfaction.   What should be done after the inference about the relationship has been determined? What should be done after the inference about the relationship has been determined?

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A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. )Assume á=.05,nondirectional test. A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. )Assume á=.05,nondirectional test.   The eta<sup>2</sup> for the reading readiness data is _____. The eta2 for the "reading readiness" data is _____.

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A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. )Assume á=.05,nondirectional test. A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. )Assume á=.05,nondirectional test.   The df for this problem is _______. The df for this problem is _______.

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Since variability due to individual differences is extracted from the dependent variable as part of the correlated groups t test procedure,a correlated groups t test will usually be more powerful than a corresponding independent groups t test.

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If the researcher suspects that the strength of the relationship between two variables in the population is .25,what sample size should she use per group in a study involving two correlated groups and an alpha level of .05,directional test,in order to achieve a power of .90?

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Only the independent groups t-test assumes the dependent variable is quantitative in nature at an interval scale.

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The calculation of ____________________is similar in both the correlated and independent groups t-test.

(Short Answer)
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A major advantage of correlated groups t-test over an independent groups t-test is associated with the control of____________________.

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In the correlated groups t test,the relevant t distribution has _____ degrees of freedom associated with it.

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If your calculated t statistic was t(30)= 6.23,you would most likely decide to _____.

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An important advantage of the correlated groups t test over the independent groups t test relates to the control of:

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Dr.August is investigating whether or not women have more job satisfaction after they are given praise or a gift card (different levels or rewards).She has recruited 10 women from Intel and for 6 months the women received praise then the next 6 months they received a gift card.The conditions were counterbalanced and a survey on job satisfaction was distributed following the treatment conditions or every 6 months until the research was completed.After finishing her study Dr.August was busy writing a grant,therefore she has asked you to analyze her data below.Please note the survey was based on 1-5 Likert scale with high scores indicating high job satisfaction and low score indicating dissatisfaction. Dr.August is investigating whether or not women have more job satisfaction after they are given praise or a gift card (different levels or rewards).She has recruited 10 women from Intel and for 6 months the women received praise then the next 6 months they received a gift card.The conditions were counterbalanced and a survey on job satisfaction was distributed following the treatment conditions or every 6 months until the research was completed.After finishing her study Dr.August was busy writing a grant,therefore she has asked you to analyze her data below.Please note the survey was based on 1-5 Likert scale with high scores indicating high job satisfaction and low score indicating dissatisfaction.   What statistical test should be used to analyze Dr.Augusts' data? What statistical test should be used to analyze Dr.Augusts' data?

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