### Non Parametric Methods (STAT-304)

Introduction

Prescribed course concerns with the non-parametric approach instead of using the vast variety of parametric statistics test due to violating the assumption of normality in the data. Course also enlightens the significance of different supplementary tests those have no concern with the distribution of the data (should normally distributed) or central limit approach. This course based on the utilization of non-parametric tests specifically in such situation where fulfillment of assumptions relating to sample (data) is quiet difficult. Another direction of the course indicates the real life applications, problems and their solutions in applied field of statistics.

Learning Outcomes

After successfully completing the course students will be able to:

• Understand the basic concepts, assumptions, procedure and use of non-parametric tests
• Exhibit skills in analysing data measured on nominal or ordinal scale and interpreting the results
• Demostrate the ability to apply non parametric tests on real life data by using SPSS
 Weeks Topics Books with page no. 1 Parametric Vs. Non Parametric Tests (introduction & measurement scales) and Sign Test for one sample Applied non parametric statistics by W. Daniel (1-20) 2 Wilcoxon Signed Rank Test Applied non parametric statistics by W. Daniel (21-27) 3 Confidence Interval based on Sign test Applied non parametric statistics by W. Daniel (37) 4 Median Test & Mann Whitney test Non-parametric Statistics by Gregory W. Corder (57-68) 5 Run test and Mood test Non-parametric Statistics by Gregory W. Corder (192-204) 6 Cochran test for related samples and Chi square test Non-parametric Statistics by Gregory W. Corder (155-168) 7 Binomial test and Theils regression method Applied non parametric statistics by W. Daniel (343 & 344) 8 Kruskal wallis test (proedure and examples) Non-parametric Statistics by Gregory W. Corder (99-110) 9 Friedman Test (procedure and examples) Non-parametric Statistics by Gregory W. Corder (79-88) 10 Seigal tukey test Applied non parametric statistics by W. Daniel (71) 11 Moses test of dispersion Applied non parametric statistics by W. Daniel (101) 12 Role of non-parametric test in management and social science research Research paper by Dr. Pravin Chavan (38-52) 13 Spearman rank correlation test Non-parametric Statistics by Gregory W. Corder (122-130) 14 The Chi square test of independence (lessons in biostatistics) Research paper by Mary L. McHugh (143-149) 15 Kolmogrov Smirnov test Non-parametric Statistics by Gregory W. Corder (26-32) 16 Biserial, point biserial and Kendall correlation Non-parametric Statistics by Gregory W. Corder (131-149)

Distribution of Marks

Mid Exam:           30
Final exam:         50
Sessional (Assignment,Presentation,Participation,Attendance,Quizes)    20

Books

• Non-parametric Statistics by Gregory W. Corder
• Conover, W.J. (1999), Practical Non-Parametric Statistics, 3rd Edition, John Wiley and Sons, New York.
• Maritz, J.S. (1995). Distribution-Free Statistical Methods. Chapman & Hall Landon.

Time of Class meetings

Monday:  4:00-5:00 pm
Wednesday & Friday:  2:00-3:00 pm