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

Descriptive Statistics (3/3)

Frequency Analysis

StatisticSPSS 29statoryMatch
Count303303
Percent50.550.50
Valid %50.550.50
Cumulative %50.550.50
Total N600600

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

Descriptive Statistics

StatisticSPSS 29statoryMatch
N600600
Mean2.972.97
Std. Deviation0.8980.90
Minimum11
Maximum55
Skewness0.0660.07
SE Skewness0.1000.100
Kurtosis-0.301-0.30
SE Kurtosis0.1990.199

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

Crosstabulation

StatisticSPSS 29statoryMatch
Pearson Chi-Square0.6400.640
df22
Asymp. Sig. (2-sided)0.7260.726
Likelihood Ratio0.6400.640
Cramer's V0.0330.033
Phi0.0330.033
N of Valid Cases600600

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

T-Tests (3/3)

Independent-Samples T-Test

StatisticSPSS 29statoryMatch
Levene F0.0290.029
Levene Sig.0.8640.864
t2.1952.195
df598598
Sig. (2-tailed)0.0290.029
Mean Difference0.1610.161
95% CI Lower0.0170.017
95% CI Upper0.3040.304
Cohen's d0.1790.179

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

Paired-Samples T-Test

StatisticSPSS 29statoryMatch
Mean Difference-0.597-0.597
Std. Deviation0.9520.952
t-15.359-15.359
df599599
Sig. (2-tailed)<.001<.001
95% CI Lower-0.673-0.673
95% CI Upper-0.520-0.520
Cohen's d-0.627-0.627

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

One-Sample T-Test

StatisticSPSS 29statoryMatch
N600600
Mean2.972.97
Test Value33
t-0.727-0.727
df599599
Sig. (2-tailed)0.4680.468
Mean Difference-0.027-0.027
Cohen's d-0.030-0.030

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

ANOVA (1/1)

One-Way ANOVA

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

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

Correlation (2/2)

Pearson Correlation

StatisticSPSS 29statoryMatch
Pearson r0.4170.417
Sig. (2-tailed)<.001<.001
N600600

Bivariate Pearson correlation coefficient.

Spearman Rank Correlation

StatisticSPSS 29statoryMatch
Spearman ρ0.3950.395
Sig. (2-tailed)<.001<.001
N600600

Non-parametric rank correlation.

Regression (1/1)

Multiple Linear Regression

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

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

Factor Analysis (1/1)

Exploratory Factor Analysis (PCA + Varimax)

StatisticSPSS 29statoryMatch
KMO0.8520.852
Bartlett Chi-Square2527.1832527.18
df4545
Sig.<.001<.001
Rotated SS (Factor 1)3.0173.017
Rotated SS (Factor 2)2.3912.390
Rotated SS (Factor 3)1.6681.668
Variance % (Factor 1)30.16530.175
Variance % (Factor 2)23.90523.898
Variance % (Factor 3)16.67916.676
Cumulative %70.74970.749
Max Loading (Factor 1)0.8230.823
Max Loading (Factor 2)0.8130.813
Max Loading (Factor 3)0.7730.773

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 Alpha0.8320.832
Number of Items55
N600600
Corrected Item-Total Correlation (Item 1)0.7210.721
Alpha if Item Deleted (Item 1)0.7740.774
Corrected Item-Total Correlation (Item 2)0.4210.421
Alpha if Item Deleted (Item 2)0.8520.852

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 (±0.001).

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

Last verification period: 2026-04-16

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