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 / 3โœ… All verified
T-Tests3 / 3โœ… All verified
ANOVA1 / 1โœ… All verified
Correlation2 / 2โœ… All verified
Regression1 / 1โœ… All verified
Factor Analysis1 / 1โœ… All verified
Reliability1 / 1โœ… All verified
Total12 / 12โœ… All verified

Descriptive Statistics (3/3)

Frequency Analysis

StatisticSPSS 29StatoryMatch
Count303303โœ…
Percent50.550.50โœ…
Valid %50.550.50โœ…
Cumulative %50.550.50โœ…
Total N600600โœ…

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

Descriptive Statistics

StatisticSPSS 29StatoryMatch
N600600โœ…
Mean2.972.97โœ…
Std. Deviation0.8980.90โœ…
Minimum11โœ…
Maximum55โœ…
Skewness0.0660.07โœ…
SE Skewness0.1000.100โœ…
Kurtosis-0.301-0.30โœ…
SE Kurtosis0.1990.199โœ…

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

Crosstabulation

StatisticSPSS 29StatoryMatch
Pearson Chi-Square0.6400.640โœ…
df22โœ…
Asymp. Sig. (2-sided)0.7260.726โœ…
Likelihood Ratio0.6400.640โœ…
Cramer's V0.0330.033โœ…
Phi0.0330.033โœ…
N of Valid Cases600600โœ…

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

T-Tests (3/3)

Independent-Samples T-Test

StatisticSPSS 29StatoryMatch
Levene F0.0290.029โœ…
Levene Sig.0.8640.864โœ…
t2.1952.195โœ…
df598598โœ…
Sig. (2-tailed)0.0290.029โœ…
Mean Difference0.1610.161โœ…
95% CI Lower0.0170.017โœ…
95% CI Upper0.3040.304โœ…
Cohen's d0.1790.179โœ…

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

Paired-Samples T-Test

StatisticSPSS 29StatoryMatch
Mean Difference-0.597-0.597โœ…
Std. Deviation0.9520.952โœ…
t-15.359-15.359โœ…
df599599โœ…
Sig. (2-tailed)<.001<.001โœ…
95% CI Lower-0.673-0.673โœ…
95% CI Upper-0.520-0.520โœ…
Cohen's d-0.627-0.627โœ…

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

One-Sample T-Test

StatisticSPSS 29StatoryMatch
N600600โœ…
Mean2.972.97โœ…
Test Value33โœ…
t-0.727-0.727โœ…
df599599โœ…
Sig. (2-tailed)0.4680.468โœ…
Mean Difference-0.027-0.027โœ…
Cohen's d-0.030-0.030โœ…

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

ANOVA (1/1)

One-Way ANOVA

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

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

Correlation (2/2)

Pearson Correlation

StatisticSPSS 29StatoryMatch
Pearson r0.4170.417โœ…
Sig. (2-tailed)<.001<.001โœ…
N600600โœ…

Bivariate Pearson correlation coefficient.

Spearman Rank Correlation

StatisticSPSS 29StatoryMatch
Spearman ฯ0.3950.395โœ…
Sig. (2-tailed)<.001<.001โœ…
N600600โœ…

Non-parametric rank correlation.

Regression (1/1)

Multiple Linear Regression

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

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

Factor Analysis (1/1)

Exploratory Factor Analysis (PCA + Varimax)

StatisticSPSS 29StatoryMatch
KMO0.8520.852โœ…
Bartlett Chi-Square2527.1832527.18โœ…
df4545โœ…
Sig.<.001<.001โœ…
Rotated SS (Factor 1)3.0173.017โœ…
Rotated SS (Factor 2)2.3912.390โœ…
Rotated SS (Factor 3)1.6681.668โœ…
Variance % (Factor 1)30.16530.175โœ…
Variance % (Factor 2)23.90523.898โœ…
Variance % (Factor 3)16.67916.676โœ…
Cumulative %70.74970.749โœ…
Max Loading (Factor 1)0.8230.823โœ…
Max Loading (Factor 2)0.8130.813โœ…
Max Loading (Factor 3)0.7730.773โœ…

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 Alpha0.8320.832โœ…
Number of Items55โœ…
N600600โœ…
Corrected Item-Total Correlation (Item 1)0.7210.721โœ…
Alpha if Item Deleted (Item 1)0.7740.774โœ…
Corrected Item-Total Correlation (Item 2)0.4210.421โœ…
Alpha if Item Deleted (Item 2)0.8520.852โœ…

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 (ยฑ0.001).

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

Last verification period: 2026-04-16

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