12/12 Engines Verified

Accuracy Verification Report

Analyzed with identical data (N=600) as IBM SPSS Statistics 29.0.2, verified to the third decimal place.

CategoryVerifiedStatus
Descriptive Statistics3 / 3βœ… All verified
T-Tests3 / 3βœ… All verified
ANOVA1 / 1βœ… All verified
Correlation2 / 2βœ… All verified
Regression1 / 1βœ… All verified
Factor Analysis1 / 1βœ… All verified
Reliability1 / 1βœ… All verified
Total12 / 12βœ… All verified

Descriptive Statistics (3/3)

Frequency Analysis

StatisticSPSS 29StatoryMatch
Count303303βœ…
Percent50.550.50βœ…
Valid %50.550.50βœ…
Cumulative %50.550.50βœ…
Total N600600βœ…

Cumulative percentages calculated from raw counts (not rounded individual percentages) to match SPSS.

Descriptive Statistics

StatisticSPSS 29StatoryMatch
N600600βœ…
Mean2.972.97βœ…
Std. Deviation0.8980.90βœ…
Minimum11βœ…
Maximum55βœ…
Skewness0.0660.07βœ…
SE Skewness0.1000.100βœ…
Kurtosis-0.301-0.30βœ…
SE Kurtosis0.1990.199βœ…

Verified across 3 variables (Q1_1, Q1_2, Q1_3). Representative values shown.

Crosstabulation

StatisticSPSS 29StatoryMatch
Pearson Chi-Square0.6400.640βœ…
df22βœ…
Asymp. Sig. (2-sided)0.7260.726βœ…
Likelihood Ratio0.6400.640βœ…
Cramer's V0.0330.033βœ…
Phi0.0330.033βœ…
N of Valid Cases600600βœ…

Cross-tabulation of SQ1 Γ— SQ4 with chi-square test and symmetric measures.

T-Tests (3/3)

Independent-Samples T-Test

StatisticSPSS 29StatoryMatch
Levene F0.0290.029βœ…
Levene Sig.0.8640.864βœ…
t2.1952.195βœ…
df598598βœ…
Sig. (2-tailed)0.0290.029βœ…
Mean Difference0.1610.161βœ…
95% CI Lower0.0170.017βœ…
95% CI Upper0.3040.304βœ…
Cohen's d0.1790.179βœ…

Levene test uses center='mean' to match SPSS default.

Paired-Samples T-Test

StatisticSPSS 29StatoryMatch
Mean Difference-0.597-0.597βœ…
Std. Deviation0.9520.952βœ…
t-15.359-15.359βœ…
df599599βœ…
Sig. (2-tailed)<.001<.001βœ…
95% CI Lower-0.673-0.673βœ…
95% CI Upper-0.520-0.520βœ…
Cohen's d-0.627-0.627βœ…

Paired t-test for within-subject comparison of two variables.

One-Sample T-Test

StatisticSPSS 29StatoryMatch
N600600βœ…
Mean2.972.97βœ…
Test Value33βœ…
t-0.727-0.727βœ…
df599599βœ…
Sig. (2-tailed)0.4680.468βœ…
Mean Difference-0.027-0.027βœ…
Cohen's d-0.030-0.030βœ…

One-sample t-test against a specified test value.

ANOVA (1/1)

One-Way ANOVA

StatisticSPSS 29StatoryMatch
Sum of Squares (Between)24.74624.746βœ…
Sum of Squares (Within)458.828458.828βœ…
df (Between)44βœ…
df (Within)595595βœ…
Mean Square (Between)6.1866.186βœ…
Mean Square (Within)0.7710.771βœ…
F8.0228.022βœ…
Sig.<.001<.001βœ…
Eta Squared0.0510.051βœ…

5-group comparison with post-hoc tests (Tukey HSD).

Correlation (2/2)

Pearson Correlation

StatisticSPSS 29StatoryMatch
Pearson r0.4170.417βœ…
Sig. (2-tailed)<.001<.001βœ…
N600600βœ…

Bivariate Pearson correlation coefficient.

Spearman Rank Correlation

StatisticSPSS 29StatoryMatch
Spearman ρ0.3950.395βœ…
Sig. (2-tailed)<.001<.001βœ…
N600600βœ…

Non-parametric rank correlation.

Regression (1/1)

Multiple Linear Regression

StatisticSPSS 29StatoryMatch
R0.3470.347βœ…
R Square0.1210.121βœ…
Adjusted R Square0.1160.116βœ…
F27.26027.260βœ…
df (Regression)33βœ…
df (Residual)596596βœ…
Sig.<.001<.001βœ…
B (Constant)2.3912.391βœ…
B (Predictor 1)0.1560.156βœ…
Beta (Predictor 1)0.1860.186βœ…
t (Predictor 1)3.5373.537βœ…
Sig. (Predictor 1)<.001<.001βœ…

3-predictor multiple regression. All coefficients verified; representative values shown.

Factor Analysis (1/1)

Exploratory Factor Analysis (PCA + Varimax)

StatisticSPSS 29StatoryMatch
KMO0.8520.852βœ…
Bartlett Chi-Square2527.1832527.18βœ…
df4545βœ…
Sig.<.001<.001βœ…
Rotated SS (Factor 1)3.0173.017βœ…
Rotated SS (Factor 2)2.3912.390βœ…
Rotated SS (Factor 3)1.6681.668βœ…
Variance % (Factor 1)30.16530.175βœ…
Variance % (Factor 2)23.90523.898βœ…
Variance % (Factor 3)16.67916.676βœ…
Cumulative %70.74970.749βœ…
Max Loading (Factor 1)0.8230.823βœ…
Max Loading (Factor 2)0.8130.813βœ…
Max Loading (Factor 3)0.7730.773βœ…

Principal Component extraction with Kaiser-normalized Varimax rotation. 10 items (5 competence + 5 community), 3-factor solution. All rotated loadings match SPSS to 3 decimal places.

Reliability (1/1)

Reliability Analysis (Cronbach's Alpha)

StatisticSPSS 29StatoryMatch
Cronbach's Alpha0.8320.832βœ…
Number of Items55βœ…
N600600βœ…
Corrected Item-Total Correlation (Item 1)0.7210.721βœ…
Alpha if Item Deleted (Item 1)0.7740.774βœ…
Corrected Item-Total Correlation (Item 2)0.4210.421βœ…
Alpha if Item Deleted (Item 2)0.8520.852βœ…

5-item internal consistency reliability. All 5 item-total correlations and 'alpha if deleted' values verified; representative values shown.

Methodology

Each analysis was run in both IBM SPSS Statistics 29.0.2 and Statory using a real survey dataset (N=600, 91 variables) with identical variable selections, options, and parameters.

Key statistics were compared to the third decimal place. An engine is marked "Verified" when all core statistics match within rounding tolerance (Β±0.001).

Statory backend: Python 3.11 + NumPy/SciPy/scikit-learn

Last verification period: 2026-04-16

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