Analysis plan:
- Means and standard deviations for the following variables: scores for each Army Beta subtest and the total Army Beta test, college GPA, and ACT Composite score.
- Percentages and medians for the following variables: completion of each subtest and total Army Beta ratings.
- Chi-squared tests comparing completion numbers for each subtest for Gould's (1981) sample and the modern sample.
- Correlation matrix among the seven Army Beta subtest scores, the total Army Beta score, college GPA, and ACT Composite score.
- Confirmatory factor analysis of the raw data to determine whether the seven Army Beta subtest scores support a one-factor congeneric model. An alternative model consisting two correlated factors, where the first factor consists of Tests 2, 4, and 5; the second factor would consist of the remaining tests (1, 3, 6, and 7). This is a plausible two-factor model because Tests 2, 4, and 5 require using written numbers--which Gould (1981) believed was problematic. The CFA model will be identified by standardizing factor variances to 1 because there is no clear "best" marker variable available.
Theorized results:
- Scores on the total Army Beta test will be as high or higher than Gould's (1981) students' scores: 58% of students rated as A, 30% of students rated as B, and 11.% of students rated as C. (alpha = .05).
- Completion rates of the new sample will be similar to completion rates in Gould's (1981) sample, as determined by a chi-squared test (alpha = .05).
- All variables in the correlation matrix will be positively correlated and statistically significant (one-tailed test, alpha = .05), with the possible exception of Test 1's score (which I believe will have low variance).
- Confirmatory factor analysis will show good fit for a one-factor congeneric model. This one-factor model will fit the data better than the two-factor model.
All analyses and theorized results were chosen after data collection and preparation but prior to any analyses.
Files:
- Command_syntax 01092018.sps: SPSS syntax file for all analyses, except the confirmatory factor analyses and the frequency tables for the demographic variables.
- Command_syntax 01172018.sps: SPSS syntax file for all analyses, except the confirmatory factor analyses. (Frequency tables for demographic variables added to this file.)
- Command_syntax 01232018.sps: SPSS syntax file for all analyses except the confirmayory factor analysis. (Cronbach's alpha values added to this file.)
- Army_Beta_CFA_1F.inp: MPlus input file for the confirmatory factor analysis for the replication sample. This input file tests the data's fit to the one-factor model.
- Army_Beta_CFA_2F.inp: MPlus input file for the confirmatory factor analysis for the replication sample. This input file tests the data's fit to the two-factor model.
- Army_Beta_1918_390_1F_CFA.inp: MPlus input file for the confirmatory factor analysis for the smaller World War I sample (reported in Yerkes, 1921, p. 390). This input file tests the data's fit to the one-factor model.
- Army_Beta_1918_390_2F_CFA.inp: MPlus input file for the confirmatory factor analysis for the smaller World War I sample (reported in Yerkes, 1921, p. 390). This input file tests the data's fit to the two-factor model.
- Army_Beta_1918_634_1F_CFA.inp: MPlus input file for the confirmatory factor analysis for the larger World War I sample (reported in Yerkes, 1921, p. 634). This input file tests the data's fit to the one-factor model.
- Army_Beta_1918_634_2F_CFA.inp: MPlus input file for the confirmatory factor analysis for the larger World War I sample (reported in Yerkes, 1921, p. 634). This input file tests the data's fit to the two-factor model.
- army_beta_cfa_1f.out: MPlus output file for the one-factor CFA model for the replication sample.
- army_beta_cfa_2f.out: MPlus output file for the two-factor CFA model for the replication sample.
- army_beta_1918_390_1f.cfa.out: MPlus output file for the one-factor CFA model for the smaller World War I sample (Yerkes, 1921, p. 390).
- army_beta_1918_390_2f.cfa.out: MPlus output file for the two-factor CFA model for the smaller World War I sample (Yerkes, 1921, p. 390).
- army_beta_1918_634_1f.cfa.out: MPlus output file for the one-factor CFA model for the larger World War I sample (Yerkes, 1921, p. 634).
- army_beta_1918_634_2f.cfa.out: MPlus output file for the two-factor CFA model for the larger World War I sample (Yerkes, 1921, p. 634).
- Output 01092018.pdf: SPSS output for all analyses, except the confirmatory factor analyses and frequency tables for demographic variables.
- Output 01172018.pdf: SPSS output for all analyses, except the confirmatory factor analyses. (Demographic variable frequency tables found in this output file.)
- Output 01232018.pdf: SPSS output for all analyses, except the confirmatory factor analyses. (Cronbach's alpha values added to this file.)