Question

INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is worth 5 pts. 1) Ch 12. Problem: The following data summarize the results from an independent measures study comparing three treatment conditions 356 - 12 10 G =0 M3 M4 M-8 T-12 T-16 T -12 55 5512 516 a. Use an ANOVA with a 05 to determine whether there are any significant differences among the three treatment means h Calculate to measure the effect size for this study e. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size. Part A: Caleulate the ANOVA: Step 1: State the hypothesis and select the alpha level. Step 2: Locate the critical region dr = N -1 dek-1 dfNK Note: F-distribution is in Appendix B: Table B.4 (pg. 577) a) Compute the sum of squares SS =X2- SS. ISS inside each treatment SSSSSS b) Compute the Mean Square (MS) values M... MS c) Compute the F-ratio FMs between Step 4: Make a decision Part B: Calculate the effect size: Sheets statel Part C: Report the Findings:

Answer 1

Page No. Date As from given chart Part A. : ANOVA Step 1: Hall, = 42=U3. - Ha Miteli tt) , 2, 3 atleast in emeanis x=o.os Step 2: of totul = N-1 112 -1=ll .df behreen = k l = 3-1=2 d. f within a Nok = 12-3=9 cal compute sum of sguests. _ _ Iss total = {x² - 6 = 392-se 12 =192]

Page . Date ss within = 5 ss inside each teatre are all - = 12 + 16 +32 ss between = s tory - sswithin. - 92 -60_ = 32 b) ms Value 32 - between 16 2 ms within = ss = so = 6 df T frono = - 16 6.6662 = 2.4 critical value = 4.2565 decision: hypothesis. fail to reject the null

Date Port B: Efsachsize na = ss between - SsFont 32 92 0.3778 part cir effet sile=0. 3478 medinm effect size - in this case we are sail torejant me nullhypothesis.