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Perspectives on Judicial Efficiency: Case Study of Predictive Modeling in Kenyan High Courts Cover

Perspectives on Judicial Efficiency: Case Study of Predictive Modeling in Kenyan High Courts

International Journal for Court Administration
Volume 16 (2025): Issue 2
By: ,   and    
Open Access
|Oct 2025
Figures & tables

Figures & Tables

Table 1

Summary statistics of time in months grouped by case type.

CASE TYPEMEAN TIMEMEDIAN TIMEMIN TIMEMAX TIMESD TIME
ANTI-CORRUPTION14.22807216.01
CIVIL30.8923013027.11
CONSTITUTIONAL21.5414012922.24
CRIMINAL15.918012620.81
FAMILY40.1935012930.14
Non-Appeals(0)26.2215013028.47
Appeals(1)30.0824012923.09
Table 2

T-test statistics for appealed and non-appealed cases.

STATISTICVALUE
t-value–20.67
Degrees of Freedom48116
p-value< 2.2e-16
Confidence Interval Lower–4.22
Confidence Interval Upper–3.49
Mean in Group 026.22
Mean in Group 130.08

[i] **Alternative hypothesis: True difference in means between group 0 and group 1 is not equal to 0.

Figure 1

Distribution of time in months by case type.

Figure 2

Boxplot of time by case.

Figure 3

Kaplan Meier survival curve per case type.

Table 3

Results of the Cox Proportional Hazards Model.

COVARIATECOEFFICIENT (β)HAZARD RATIO (exp(β))95% CI FOR HAZARD RATIOp-VALUE
Case Type: Civil–0.6900.502[0.456, 0.553]<0.001
Case Type: Constitutional–0.4700.625[0.566, 0.690]<0.001
Case Type: Criminal–0.0730.930[0.844, 1.024]0.138
Case Type: Family–1.1050.331[0.301, 0.365]<0.001
Appeals–0.3120.732[0.720, 0.743]<0.001
Table 4

Results of the Weibull Model.

COVARIATECOEFFICIENT (β)exp(β)STANDARD ERRORz-VALUEp-VALUE
(Intercept)2.76715.9050.04759.310<0.001
Appeals0.1301.1390.00816.600<0.001
Case Type: Civil0.6741.9620.04714.370<0.001
Case Type: Constitutional0.4321.5410.0489.010<0.001
Case Type: Criminal0.3101.3630.0476.600<0.001
Case Type: Family0.9922.6960.04721.080<0.001
Table 5

Results of the Exponential Model.

COVARIATECOEFFICIENT (β)exp(β)STANDARD ERRORz-VALUEp-VALUE
(Intercept)2.71415.0780.05252.570<0.001
Appeals0.1531.1660.00917.750<0.001
Case Type: Civil0.6791.9720.05213.070<0.001
Case Type: Constitutional0.4431.5580.0538.350<0.001
Case Type: Criminal0.3071.3600.0525.910<0.001
Case Type: Family1.0172.7660.05219.530<0.001
Table 6

Results of the Log-normal Model.

COVARIATECOEFFICIENT (β)exp(β)STANDARD ERRORz-VALUEp-VALUE
(Intercept)2.1108.2490.05836.450<0.001
Appeals0.5061.6590.01052.530<0.001
Case Type: Civil0.6271.8730.05810.770<0.001
Case Type: Constitutional0.5371.7110.0609.020<0.001
Case Type: Criminal0.1811.1990.0583.1100.002
Case Type: Family1.2593.5230.05821.570<0.001
Table 7

Results of the Log-logistic Model.

COVARIATECOEFFICIENT (β)exp(β)STANDARD ERRORz-VALUEp-VALUE
(Intercept)2.1258.3710.05836.460<0.001
Appeals0.4841.6220.01049.910<0.001
Case Type: Civil0.7042.0220.05912.000<0.001
Case Type: Constitutional0.5881.8000.0609.800<0.001
Case Type: Criminal0.2371.2670.0594.020<0.001
Case Type: Family1.3303.7830.05922.640<0.001
Table 8

Comparison of Survival Models Using AIC.

MODELdfAIC
Cox Proportional Hazards51915086.7
Weibull7713383.0
Exponential6714643.8
Log-normal7721860.8
Log-logistic7723709.4
DOI: https://doi.org/10.36745/ijca.627 | Journal eISSN: 2156-7964
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Language: English
Page range: 5 - 5
Published on: Oct 8, 2025
Published by: International Association for Court Administration
In partnership with: Paradigm Publishing Services
Keywords:
High Courts,
Survival models,
Case Resolution Time,
Kenyan High Courts,
Judicial Efficiency,
Exploratory Data Analysis (EDA),
Akaike Information Criterion (AIC)

© 2025 Alex Kangogo Kandie, Edwine Benson Atitwa, Wesley Nyaluke, published by International Association for Court Administration
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 16 (2025): Issue 2
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