Exam 10: Independent Groups T-Test

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The total variability in the dependent variable,as represented by SSTOTAL,can be spilt up,or partitioned,into two components:

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Explained variance is variability associated with (explained by)disturbance variables.

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Before a researcher decides what statistical test,and if an independent t-test is correct he/ she must determine_____.

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The mean of a sampling distribution of the difference between two independent means is always equal to the:

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A physical therapist is interested in whether people with different bone structures will be affected differently by her new therapy program.She randomly chooses two groups of patients based on bone type: small-boned frame (XS)and large-boned frame (XL).Patients all had similar injuries.She measures the number of days each person takes to progress to a predetermined point.Here is the data: A physical therapist is interested in whether people with different bone structures will be affected differently by her new therapy program.She randomly chooses two groups of patients based on bone type: small-boned frame (X<sub>S</sub>)and large-boned frame (X<sub>L</sub>).Patients all had similar injuries.She measures the number of days each person takes to progress to a predetermined point.Here is the data:   What are the degrees of freedom for the t test for two independent samples? What are the degrees of freedom for the t test for two independent samples?

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The mean of a sampling distribution of the differences between two independent means

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Many properties of a sampling distribution of the mean do not hold for a sampling distribution of the difference between two independent means.

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The procedure which produces a pooled weighted estimate of the sample variances combines the individual estimates in a manner which is ____.

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If the sample sizes are not equal,then the pooled variance estimate should be calculated ____.

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In an APA results section and independent groups t-test is written as follows t(82)= 5.66,p<0.05.Based on this information what are the degrees of freedom?

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According to the homogeneity of variance assumption:

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When is the independent groups t test used to analyze the relationship between two variables?

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Under certain conditions,the independent groups t test is robust to violations of the _____ and _____ assumptions.

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Analogous to the standard error of the mean,the size of the standard error of the difference is influenced by two factors: (1)the sample sizes (n1 and n2)and (2)the variability of scores in the populations (ó12 and ó22).

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The set of all t values more extreme than the critical values constitute an unexpected result or,more formally,the rejection region.

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If the researcher suspects that the strength of the relationship between two variables in the population is .45,what sample size should she use per group in a study involving two independent groups and an alpha level of .05,directional test,in order to achieve a power of .85?

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Treatment effects are defined as the difference between a given _____ and the _____.

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What are the assumptions of the independent groups t test?

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The sum of squares total represents the total amount of variability that exists in the data.

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In an APA results section and independent groups t-test is written as follows t(82)= 5.66,p<0.05.Based on this information were the groups significantly different?

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