Fundamental Statistical Concepts

Description

This course delves into the various fundamental statistical concepts and methods used to describe and analyze data. This will cover the major concepts of both descriptive and inferential statistics so that the participants can grasp the theoretical and mathematical concepts in both branches of statistics. This will also emphasize the applied aspects of Statistics, especially towards research in the social sciences. The course is mainly designed for newbies in the field of Statistics and also for those wanting to refresh their basic knowledge in Statitsics.


Course Outline

MODULE 1: INTRODUCTION TO STATISTICS

Lesson 1: Basic Statistical Concepts

1.1 What is Statistics?

1.2 Branches of Statistics

1.3 Population vs Sample

1.4 Sampling

1.5 Data Collection

1.6 Reliability and Validity

1.7 Biases and Errors

Lesson 2: Variables, Data, and Datasets

2.1 Variables, Data, and Datasets

2.2 Data Types

2.3 Levels of Measurement

MODULE 2: DESCRIPTIVE STATISTICS

Lesson 3: Descriptive Measures

3.1 Descriptive Statistics

3.2 Measures of Central Tendency

3.3 Measures of Dispersion

3.4 Measures of Position

3.5 Measures of Shape

Lesson 4: Graphs and Charts

4.1 Pie Chart

4.2 Bar Graph

4.3 Time Chart

4.4 Histogram

4.5 Box and Whisker Plots

4.6 Steam and Leaf Plot

MODULE 3: INFERRENTIAL STATISTICS

Lesson 5: Parametric and Non-parametric Analyses

5.1 Hypothesis Testing

5.2 Parametric vs Non-parametric Data Analysis

5.3 Testing for Normality

5.4 Testing for Homogeneity of Variance

5.5 Testing Randomness

5.6 Identifying Outliers

5.7 The Parametric and Non-parametric tests

Lesson 6: Parametric Analysis

6.1 z-test

6.2 One Sample T-test

6.3 Dependent Samples T-test

6.4 Independent Samples T-test

6.5 Analysis of Variance

Lesson 7: Non-parametric Analysis

7.1 Wilcoxon Signed Rank test

7.2 One-sample Wilcoxon Signed Rank test

7.3 Mann-Whitney U test

7.4 Kruskal Wallis test

7.5 Friedman test

MODULE 4: CORRELATION AND REGRESSION ANALYSIS

Lesson 8: Correlation Analysis

8.1 Correlation Analysis

8.2 Types of Correlation Analyses

8.3 Pearson Correlation

8.4 Spearman Correlation

8.5 Kendall Tau

8.6 Chi-square test

Lesson 9: Regression Analysis

9.1 Regression Analysis

9.2 Simple Linear Regression

9.3 Multiple Linear Regression

9.4 Regression Diagnostics

 

References:

Books:

1. Kent State University Libraries (2017) SPSS tutorials. Retrieved from https://libguides.library.kent.edu/SPSS/


2. McCormick, K., Salcedo, J., Poh, A. (2015) SPSS Statistics for Dummies 3rd Edition. John Wiley & Sons, Inc., Hoboken, New Jersey


3. Wahl, M. (2013) Crash Course on Basic Statistics. University of New York at Stony Brook


4. Raykov, T., Marcoulides, G. (2012) Basic Statistics: An Introduction with R. Rowman & Littlefield Publishers, Inc.


5. Beginning Statistics (2012) Retrieved from https://2012books.lardbucket.org/books/beginning-statistics/


6. Kerns, G. J. (2011) Introduction to Probability and Statistics Using R 1st Edition.


7. Manikandan, S. (2011) Measures of central tendency: The mean. J Pharmacol Pharmacother. doi: 10.4103/0976-500X.81920. PMID: 21772786; PMCID: PMC3127352.


8. Rumsey, D. (2010) Statistics Essentials for Dummies. Wiley Publishing Inc.


9. Ho, R. (2006) Handbook of Univariate and Multivariate Data Analysis and Interpretation with SPSS. Chapman and Hall/CRC


10. Sundar Rao P.S., Richard J. (2006) Introduction to biostatistics and research methods 4th Edition. New Delhi, India: Prentice Hall of India Pvt Ltd.


11. Gujarati, D. (2003) Basic Econometrics Fourth Edition. McGraw-Hill


12. Weiss, N.A. (1999) Introductory Statistics. Addison Wesley

 

Others (Web/Online):

1. https://www.cuemath.com/data/

2. https://byjus.com/maths/



Other Resources:


Course Information


Do you want to further enrich your learning? You may also enroll in the Google Classroom of this course to assess your progress and learning AT NO COST. Feel free to e-mail me!


If you have questions/ clarifications/ concerns/ feedback, feel free to contact me anytime!


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