Exam 10: Independent Groups T -Test

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A treatment effect

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The standard error of the difference between two independent means is influenced by _____.

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The standard error of the difference becomes smaller as the sample sizes _____ and the variability of the scores in the populations _____.

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What is an estimated pooled variance?

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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 is the observed value of the independent groups t test? What is the observed value of the independent groups t test?

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If the sample sizes in the two groups are each greater than _____ and roughly comparable,then the independent groups t test is robust to rather severe departures of the _____ assumption.

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What is eta-squared?

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The quantity ó2 can best be estimated by combining,or pooling,the variance estimates from the two samples to obtain a pooled variance estimate.

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Eta-squared indexes the _____ of the relationship between the independent and dependent variables since it represents the _____ of variability in the dependent variable that is associated with the independent variable.

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The set of all t values more extreme than the critical values constitutes a(n)_____ result or more formally,the _____ region.

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An independent groups t-test has _____levels of the independent variable.

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The alternative hypothesis states that there is a relationship between the independent variable and the dependent variable.

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The Independent groups t-test assumes all of the following except_____.

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The independent samples t test is reasonably robust to violations against which assumptions?

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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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Independent-groups t tests may be used to analyze the relationship between two variables when _____.

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1.00 minus eta-squared represents the proportion of variability in the dependent variable that is not associated with the independent variable--that is,the proportion of sample variability that is due to disturbance variables.

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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 independent groups t test assumes that the two population variances are unequal,or heterogeneous.

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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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