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Scenario: Dr. Williamson collected the following factorial data examining the effect on academic test scores. The factors included a) gender, b) age and c) cohort

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Scenario: Dr. Williamson collected the following factorial data examining the effect on academic test scores. The factors included a) gender, b) age and c) cohort (which year they studied in Dr. Williamson's class). Females (A1) Males (A2) Older (B1) Younger (B2) Older (B1) Younger (B2) 2019 2020 2021 2019 2020 2021 2019 2020 2021 2019 2020 2021 (C1) (C2) (C3) (C1) (C2) (C3) (C1) (C2) (C3) (C1) (C2) (C3) 8 7 7 7 8 8 7 8 8 8 7 7 1) Which of the following outcomes can you detect in Dr. Williams' data? a. Main effect for gender b. Main effect for age c. A three-way interaction d. A two-way (age by cohort) interaction

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