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Introduction to Statistics and Data Analysis4th EditionChris Olsen, Jay L. Devore, Roxy Peck 552 solutions 1. Calculate corrected VARIANCE for each sample (NOT STANDARD DEVIATION) Table for Sample 1: X, X-M, (X-M)^2; Table for Sample 2: Y, Y-M, (Y-M)^2; 2. POOL the variances -- take an average of the two sample variances while accounting for any differences in the sizes of the two samples -- this is an estimate of the common population variance dƒx = N -1 s^2 pooled = (dƒx / dƒtotal) s^2X + (dƒy / dƒtotal) s^2Y 3. convert the pooled variance from squared standard deviation (variance) to squared standard error (another version of variance) by dividing the pooled variance by the sample size, first for one sample and then again for the second sample -- THESE ARE THE ESTIMATED VARIANCES FOR EACH SAMPLE'S DISTRIBUTION OF MEANS s^2Mx = S^2 pooled / Nx 4. add the two variances (squared standard errors), one for each distribution of sample means, to calculate estimated variance of the distribution of differences between means S^2 difference = s^2 Mx + s^2 My 5. Calculate the square root of this form of variance (squared standard error) to get the estimated standard error of the distribution of differences between means s difference = √s^2 difference MAIN DIFFERENCE FOR INDEPENDENT SAMPLES T-TESTS is that we have kept all calculations as variances rather than standard deviations Recommended textbook solutions
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What is an independent tWhat is the purpose of Independent sample t-test? It is used when you have two samples that are not related to one another and you want to see of there is a difference between the means of the two populations form which the samples are drawn.
What is the definition of independent samples quizlet?What is an independent samples t test? -An independent sample t test is a two group study where each participant is in only ONE group. -The scores of each group are INDEPENDENT of each other.
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