Information
Course Goal / Objective
The purpose of this lesson is to explain small sample hypothesis tests which are applied when the normal distribution is not satisfied, goodness of fit tests, tests for independency and homogeneity and coefficients of relationship.
Course Content
The course content covers rank and rank-order statistics; chi-square, Kolmogorov-Smirnov, Liliefors and Shapiro- Wilk goodness of fit tests; Levene, Brown-Forsythe and Layard chi-square tests for homogeneity of variances; one sample binomial, sign, Wilcoxon signed rank test and runs test; Mann-Whitney, Wald-Wolfowitz runs and Kolmogorov-Smirnov tests for two-independent samples; chi-square tests for independency and homogeneity and Spearman's rank correlation coefficient and Kendall's tau coefficient of relationship and applications of these methods on SPSS.
Course Precondition
None
Resources
Practical Nonparametric Statistics, 3rd edition by W.J. Conover, 1999.
Notes
Nonparametric Statistical Methods, 3rd edition by M. Hollander, D.A. Wolfe, and E. Chicken, 2014. A good reference in Turkish is: Parametrik Olmayan Yöntemler by H. Gamgam and B. Altunkaynak, 2013
Course Learning Outcomes
Order | Course Learning Outcomes |
---|---|
LO01 | Differentiates between parametric and nonparametric methods |
LO02 | Determines when to apply nonparametric tests |
LO03 | Computes rank and rank-order statistics |
LO04 | Performs goodness of fit tests |
LO05 | Interprets results of goodness of fit tests |
LO06 | Tests the homogeneity of variances |
LO07 | Applies one sample nonparametric hypothesis tests |
LO08 | Interprets results of one sample nonparametric hypothesis tests |
LO09 | Performs two-independent sample nonparametric hypothesis tests |
LO10 | Interprets results of two-independent sample nonparametric hypothesis tests |
LO11 | Performs two-dependent sample nonparametric hypothesis tests |
LO12 | Interprets results of two-dependent sample nonparametric hypothesis tests |
LO13 | Applies chi-square test for independency and homogeneity |
LO14 | Computes nonparametric coefficients of relationship |
LO15 | Interprets nonparametric coefficients of relationship |
Relation with Program Learning Outcome
Order | Type | Program Learning Outcomes | Level |
---|---|---|---|
PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and theorems in the fields of Econometrics, Statistics and Operations research | 4 |
PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 4 |
PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | |
PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | |
PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 4 |
PLO06 | Beceriler - Bilişsel, Uygulamalı | Has the ability to analyze/interpret at the conceptual level to develop solutions to problems | |
PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data | 5 |
PLO08 | Bilgi - Kuramsal, Olgusal | Interprets the results analyzed with the model | 4 |
PLO09 | Beceriler - Bilişsel, Uygulamalı | Combines the information obtained from different sources within the framework of academic rules in a field which does not research | |
PLO10 | Beceriler - Bilişsel, Uygulamalı | It develops traditional approaches, practices and methods into new working methods when it deems necessary | |
PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
PLO12 | Yetkinlikler - Öğrenme Yetkinliği | In addition to herself/himself professional development, constantly improves in scientific, cultural, artistic and social fields in line with interests and abilities | |
PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it follows the current developments in the field / constantly renews itself | |
PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses a package program of Econometrics, Statistics, and Operation Research | 3 |
PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses Turkish and at least one other foreign language, academically and in the business context | |
PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form | |
PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on current economic and social issues | |
PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values |
Week Plan
Week | Topic | Preparation | Methods |
---|---|---|---|
1 | Some basic concepts | Chapter 1 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
2 | Order statistics | Chapter 2 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
3 | Goodness of fit tests - 1 | Chapter 3 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar, Problem Çözme |
4 | Goodness of fit tests - 2 | Chapter 3 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
5 | Tests for homogeneity of variances - 1 | Chapter 4 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
6 | Tests for homogeneity of variances - 2 | Chapter 4 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
7 | Tests for independency and homogeneity | Chapter 8 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar, Problem Çözme |
8 | Mid-Term Exam | General review for the midterm exam | Ölçme Yöntemleri: Yazılı Sınav |
9 | One sample tests - 1 | Chapter 5 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar, Problem Çözme |
10 | One sample tests - 2 | Chapter 5 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
11 | Tests for two-independent samples - 1 | Chapter 6 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
12 | Tests for two-independent samples - 2 | Chapter 6 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
13 | Tests for two-dependent samples - 1 | Chapter 7 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar, Problem Çözme |
14 | Tests for two-dependent samples - 2 | Chapter 7 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
15 | Coefficients of relationship | Chapter 11 | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar, Problem Çözme |
16 | Term Exams | General review for the final exam | Ölçme Yöntemleri: Yazılı Sınav |
17 | Term Exams | General review for the final exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
Works | Number | Time (Hour) | Workload (Hour) |
---|---|---|---|
Course Related Works | |||
Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
Assesment Related Works | |||
Homeworks, Projects, Others | 0 | 0 | 0 |
Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
Final Exam | 1 | 30 | 30 |
Total Workload (Hour) | 157 | ||
Total Workload / 25 (h) | 6,28 | ||
ECTS | 6 ECTS |