DUE NO LATER THAN APRIL 17 AT 11AM. Either type your responses or write them and scan a picture to upload to Canvas Psychology 381 Arlo Clark-Foos Homework 6: One-Way Between Groups ANOVA Part A: Critical Regions Find the appropriate critical region (cutoff) for each of the following experimental designs. 1. Four between-subjects conditions with 13 participants in each: F(__,__)=__________ 2. Three between-subjects conditions with 9, 17, and 8 participants in each: F(__,__)=__________ 3. Three between-subjects conditions with 6 participants in each: F(__,__)=__________ 4. Seven between-subjects conditions with 23 participants in each: F(__,__)=__________ 5. Five between-subjects conditions with 3, 5, 6, 9, and 4 participants in ea.: F(__,__)=__________ 6. Three between-subjects conditions with 8 participants in each: F(__,__)=__________ 7. Four between-subjects conditions with 12, 12, 11, and 15 participants: F(__,__)=__________ 8. Six between-subjects conditions with 8, 9, 11, 6, 14, and 8 participants: F(__,__)=__________ 9. Three between-subjects conditions with 14 participants in each: F(__,__)=__________ 10. Four between-subjects conditions with 11 participants in each: F(__,__)=__________ DUE NO LATER THAN APRIL 17 AT 11AM. Either type your responses or write them and scan a picture to upload to Canvas Part B: One-Way ANOVA Using the data below, please conduct the appropriate One-Way ANOVA to determine if there are differences in how students from various regions of the United States performed on the 2004 SAT. Be sure to test for homogeneity of variance. Once you have calculated your F statistic, be sure to find the appropriate cutoff for p = .05 and determine if you have a significant difference in SAT score between geographical regions. Southeast Georgia Florida North Carolina South Carolina Alabama SAT Total 987 984 1006 986 988 New England Connecticut Maine Massachusetts New Hampshire Rhode Island Vermont SAT Total 1030 1028 1008 1024 1010 1028 Midwest Ohio Michigan Indiana Illinois Wisconsin Iowa Minnesota Missouri SAT Total 1098 1100 1078 1107 1112 1096 1115 1100 Part C: Tukey’s HSD Showing all of your work, and only if you have a significant difference in Part B, conduct a Tukey’s HSD test to determine which groups are significantly different from each other. Please record your answers in the Source Table Below. You may use the tables on the subsequent pages to help with your calculations. SHOW ALL OF YOUR WORK Source Between SS df ___________ MS ___________ F __________ __________ Within ___________ ___________ ___________ ________ Total __________ DUE NO LATER THAN APRIL 17 AT 11AM. Either type your responses or write them and scan a picture to upload to Canvas SSTotal =  ( X − GM ) Group Southeast N = _____ 𝑋̅ = _____ New England N = _____ 𝑋̅ = _____ Midwest N = _____ 𝑋̅ = _____ 2 X 987 984 1006 986 988 1030 1028 1008 1024 1010 1028 1098 1100 1078 1107 1112 1096 1115 1100 Σ(X) = _________ N = _________ GM = _________ (X – GM) (X - GM2) SSTotal = _________ DUE NO LATER THAN APRIL 17 AT 11AM. Either type your responses or write them and scan a picture to upload to Canvas SS Between =  ( M − GM ) Group Southeast N = _____ 𝑋̅ = _____ New England N = _____ 𝑋̅ = _____ Midwest N = _____ 𝑋̅ = _____ X 987 984 1006 986 988 1030 1028 1008 1024 1010 1028 1098 1100 1078 1107 1112 1096 1115 1100 Σ(X) = _________ N = _________ GM = _________ 2 ̅ M or 𝑿 (M – GM) (M - GM2) SSBetween = _______ DUE NO LATER THAN APRIL 17 AT 11AM. Either type your responses or write them and scan a picture to upload to Canvas SSWithin =  ( X − M ) Group Southeast N = _____ 𝑋̅ = _____ New England N = _____ 𝑋̅ = _____ Midwest N = _____ 𝑋̅ = _____ 2 X 987 984 1006 986 988 1030 1028 1008 1024 1010 1028 1098 1100 1078 1107 1112 1096 1115 1100 Σ(X) = _________ N = _________ GM = _________ (X – M) (X - M2) SSWithin = ________
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