Dr. Tajuddin Islamuddin

Academic Background & Research

With a Ph.D. in Statistics from the University of Windsor, I bring 45+ years of active research, teaching, and professional experience to personalized statistics education. My career spans positions as Assistant Professor, Associate Professor, and HEC Professor at leading institutions including King Saud University (Saudi Arabia), University of Karachi, Institute of Business Administration, and Institute of Business Management.

My doctoral research focused on robustness of statistical tests, examining Multi-Response Permutation Procedures (MRPP) using fourth moment approximations—foundational work in understanding how distributions deviate from normality through skewness and kurtosis. Since then, I've published 16+ peer-reviewed research articles in international and regional journals, with ongoing research in skewness measures, simulation studies, and non-parametric methods.

My specialized expertise in measures of skewness has evolved through decades of research and practical applications. I help students understand not just "how" to measure skewness, but "why" it matters for data analysis, hypothesis testing, and real-world decision-making. Whether teaching O/A levels, university programs, or advanced research methodology, my approach combines rigorous academic training with intuitive, practical explanations grounded in 45+ years of experience.

📊 Research Focus: Robustness of statistical tests, MRPP statistics, fourth moment approximations, and alternative measures of skewness for non-normal distributions

45+ Years Experience

Teaching Positions:
Associate Professor, Institute of Business Management (2014-2020)
Associate Professor, King Saud University (1985-2005, 2007-2013)
HEC Professor, Institute of Business Administration (2005-2007)
Lecturer/Asst. Prof., University of Karachi (1975-1985)
Teaching Assistant, University of Windsor (1979-1984)

Published: 16+ peer-reviewed research articles
Specialization: Skewness measures, statistical robustness, non-parametric methods, distribution theory

Services

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Academic Tutoring

O/A Levels through Masters level. Comprehensive statistics coaching with emphasis on conceptual understanding, not just formula memorization.

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Skewness & Distribution Theory

Deep dive into measures of skewness, non-normal distributions, and advanced moment-based approximations—my area of research expertise.

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Hypothesis Testing & Robustness

Advanced testing methods including MRPP, permutation procedures, and non-parametric approaches for real-world data that violates normality assumptions.

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Test Preparation

Quantitative sections of SAT, GRE, GMAT, FCA. Strategic problem-solving with conceptual depth for standardized tests.

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Medical & Research Statistics

Specialized support for medical exams and research methodology. Help with data analysis and statistical design for academic studies.

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Customized Learning Plans

Personalized sessions (50-70 minutes) tailored to your specific goals, pace, and learning style. Free initial assessment included.

Published Research

Doctoral Research

Tajuddin, Islamuddin H. (1984). "Fourth Moment and Simulated Powers of MRPP Statistics." Ph.D. Dissertation, University of Windsor, Canada.

Foundational research on Multi-Response Permutation Procedures, statistical test robustness, and the role of higher moments in hypothesis testing. Dissertation Abstracts International, Vol. 46-02, Section B, p. 549. View in University Repository →

Key Research Contribution

Tajuddin, I.H. (1999). "A Comparison Between Two Simple Measures of Skewness." Journal of Applied Statistics, Vol. 26, pp. 767-774.

International peer-reviewed research demonstrating superior performance (least bias) on Weibull distributions. Extensively cited in contemporary research on skewness estimation methods.

International Journal Publications

Tajuddin, I.H. (1996). Publication on Skewness and Kurtosis Approximations. Statistica Neerlandica, Vol. 46, Wiley International.

DOI: 10.1111/j.1467-9574.1996.tb01502.x — Peer-reviewed research on properties of robust test statistics and their distributions.

Regional Journal Publications

Pakistan Journal of Statistics — Multi-volume contributor (1985, 1987, 1991, 1997):

Tajuddin, H. & Khalique, A. (1985). "On fitting a Pearsonian distribution using three or four moments." Vol. 1, pp. 39-44.
Tajuddin, I.H. (1987). Distribution theory research. Vol. 3, No. 1 (Series A).
Khalique, A. & Tajuddin, I.H. (1991). "A test of symmetry based on singh statistic." Vol. 7, No. 3 (Series B), pp. 243-250.
Tajuddin, I.H. & Khalique, A. (1997). Continued research on distribution theory. Vol. 13.

Peer-reviewed contributions to Pakistan's flagship statistics journal, advancing non-parametric methods and distribution theory across South Asia.

Recent Publications

(2019) "Fitting a piece wise cubic regression model to a cumulative normal distribution." Pak. J. Statist. 35(4), 315-320.
(2018) (With Ishtiaq Ahmed) "A Simulation Study on the Bounds of the Gini's Mean Difference for Data with a unit Standard Deviation." 12th MACS Conference, Karachi.
(2016) "A Simulation Study of some sample measures of Skewness." Pak. J. Statist. 32(1), 49-62.
(2012) "On the use of Medcouple as a measure of Skewness." Pak. J. Statist. 28(1), 69-80.

International & Seminal Publications

(1999) "A Comparison between two Simple Measures of Skewness." Journal of Applied Statistics, 26, 767-774.
(1996) "A Simple Measure of Skewness." Statistica Neerlandica, 50(3), 362-366.
(1994) "Distribution-Free Test for Symmetry based on Wilcoxon Two-Sample Test." Journal of Applied Statistics, 21(5), 409-415.

Research Collaborations

(1996) (With Dr. A. Khalique) "A Test of Symmetry based on Sign Statistic." Pak. J. Statistics, 12(3), 243-249.
(1990) (With Dr. A. Khalique) "On fitting a Pearsonian distribution using four or three moments." Pak. J. Statist. 6(3), 39-44.
(1988) (With Prof. S.M. Qureshi) "Moments of some special members of MRPP Test Statistics." 1st Islamic Countries Conference on Statistical Sciences, Lahore.
(1987) (With Dr. A. Khalique) "On the choice of using four moments or three moments and the left boundary for fitting a Pearsonian distribution." The Statistician, 36, 393-395.
(1986) (With Dr. D. S. Tracy) "Empirical Power Comparisons of Two MRPP Rank Tests." Commun. Statist. - Theor. Meth., 551-570.
(1985) (With Dr. D. S. Tracy) "Extended Moment Results for Improving Inferences based on MRPP." Commun. Statist. - Theor. Meth., 1485-1496.
(1985) (With Dr. D. S. Tracy) "Average Distance test statistics and Analysis of Variance." Methods of Operations Research, 53, 671-680.
(1985) (With Drs. K-Y Fung and H. Lee) "Some Robust Test Statistics for the Two-Sample Location Problem." The Statistician, 175-182.
(1984) (With Dr. D. S. Tracy) "Simulated Powers under two different Approximations to the exact distribution of MRPP statistics." COMPSTAT, 166-171.

Doctoral Dissertation