This education-specific workflow connects survey cleaning, item review, reliability, factor evidence, scale scoring, weighting, group comparisons, and leadership outcome models. The example follows educators responding to organizational climate, trust, and efficacy items. It is designed as a decision workflow rather than a chain of automatic significance tests.
| responses | districts | duplicate_ids | invalid_likert |
|---|---|---|---|
| 1105 | 28 | 0 | 0 |
| item | missing_n | percent |
|---|---|---|
| climate1 | 0 | 0.0 |
| climate2 | 43 | 3.9 |
| climate3 | 0 | 0.0 |
| climate4 | 0 | 0.0 |
| trust1 | 0 | 0.0 |
| trust2 | 0 | 0.0 |
| trust3 | 45 | 4.1 |
| efficacy1 | 0 | 0.0 |
| efficacy2 | 44 | 4.0 |
| efficacy3 | 0 | 0.0 |
# Coding and scale evidence {.tabset .tabset-pills} ## Reverse scoring
and reliability
| scale | scale_alpha | standardized_alpha | average_interitem |
|---|---|---|---|
| Climate | 0.837 | 0.836 | 0.560 |
| Trust | 0.779 | 0.779 | 0.540 |
| Efficacy | 0.797 | 0.797 | 0.567 |
| item | MR1 | MR2 | MR3 |
|---|---|---|---|
| climate1 | 0.84 | 0.01 | 0.02 |
| climate2 | 0.85 | 0.00 | -0.04 |
| climate3 | 0.71 | 0.05 | 0.03 |
| climate4 | 0.71 | -0.05 | 0.02 |
| trust1 | -0.04 | 0.02 | 0.87 |
| trust2 | 0.05 | 0.01 | 0.72 |
| trust3 | 0.03 | -0.03 | 0.70 |
| efficacy1 | 0.01 | 0.82 | 0.01 |
| efficacy2 | 0.02 | 0.79 | -0.03 |
| efficacy3 | -0.03 | 0.75 | 0.03 |
Reliability alone does not validate a scale. Use theory, dimensionality, item wording, response processes, and evidence from a new sample. A weak or cross-loading item should not be deleted solely to maximize alpha.
| min | median | max | effective_n |
|---|---|---|---|
| 0.56 | 1 | 1.43 | 1037.82 |
Weights require documentation of the sampling frame, selection probabilities, nonresponse adjustment, calibration, trimming, and variance method. The example normalizes supplied synthetic base weights for teaching; it does not estimate nonresponse weights without a frame containing respondents and nonrespondents.
| term | estimate | std.error | statistic | p.value | conf.low | conf.high |
|---|---|---|---|---|---|---|
| (Intercept) | 33.692 | 1.435 | 23.473 | 0.000 | 30.688 | 36.696 |
| climate | 3.169 | 0.268 | 11.836 | 0.000 | 2.609 | 3.730 |
| trust | 0.437 | 0.216 | 2.027 | 0.057 | -0.014 | 0.889 |
| efficacy | 2.057 | 0.243 | 8.460 | 0.000 | 1.548 | 2.566 |
| rolePrincipal | 0.341 | 1.157 | 0.295 | 0.771 | -2.081 | 2.763 |
| roleTeacher | -0.615 | 0.865 | -0.711 | 0.486 | -2.426 | 1.195 |
| years_education | -0.042 | 0.048 | -0.885 | 0.387 | -0.141 | 0.057 |
| school_levelHigh | -0.283 | 0.729 | -0.387 | 0.703 | -1.809 | 1.244 |
| school_levelMiddle | 0.043 | 0.613 | 0.070 | 0.945 | -1.241 | 1.327 |
| term | odds_ratio | low | high | p.value |
|---|---|---|---|---|
| climate | 0.511 | 0.456 | 0.573 | 0.000 |
| trust | 0.695 | 0.625 | 0.772 | 0.000 |
| efficacy | 0.918 | 0.829 | 1.016 | 0.098 |
| rolePrincipal | 0.968 | 0.613 | 1.527 | 0.888 |
| roleTeacher | 0.893 | 0.611 | 1.304 | 0.558 |
| years_education | 1.001 | 0.985 | 1.018 | 0.895 |
| school_levelHigh | 1.351 | 1.035 | 1.764 | 0.027 |
| school_levelMiddle | 1.149 | 0.885 | 1.491 | 0.298 |
# Multiple testing and small groups
Define a small number of primary outcomes and contrasts before analysis. Report effect sizes and intervals, not a screen of unadjusted p-values. Collapse identity or role categories only with substantive justification and stakeholder input; otherwise report suppression or uncertainty rather than presenting unstable estimates. Clustering at district or school level and a small number of clusters may require design-specific corrections.
In the synthetic weighted analysis, a one-point increase in organizational climate was associated with 3.17 points higher innovation, 95% CI [2.61, 3.73], p < .001. In the ordinal model, the corresponding adjusted odds ratio for being in a higher intent-to-leave category was 0.51, 95% CI [0.46, 0.57], p < .001.
Use confirmatory factor analysis and measurement invariance for strong latent-variable claims; multilevel models for school and district variance; multiple imputation for defensible incomplete-data analyses; longitudinal models for change; and qualitative or mixed-methods designs when leadership meaning and context are central. Cross-sectional self-report associations do not establish leadership effects.