Course Syllabus in Advanced Educational Statistics PDF

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COLEGIO DE DAGUPAN Institute of Graduate Studies Arellano St., Dagupan City

Master of Arts in Education Major in Educational Management 1st Semester S.Y. 2021-2022

COURSE SYLLABUS IN ADVANCED EDUCATIONAL STATISTICS Prepared by: ROLANDO D. ACORIBA JR. PhD, EdD, DPM Professor

COLEGIO DE DAGUPAN Institute of Graduate Studies Arellano St., Dagupan City

MASTER OF ARTS IN EDUCATION MAJOR IN EDUCATIONAL MANAGEMENT COURSE SYLLABUS Course Number Course Title Course Credit Time Duration Prerequisite I.

: : Advanced Educational Statistics :3 : 3 hours per week for 18 weeks (54 hours) : None

COURSE DESCRIPTION

This course aims to equip students understanding of the statistical concept and procedures and the understanding and interpretation of statistical results. It aims to introduce students to explain not only to apply statistical procedures but also to explain how to describe an accurate set of data meaningfully; the results of statistical tests in terms of their practical applications, how to evaluate the validity of the assumption have been violated.

II.

COURSE OBJECTIVES After the completion of this course, graduate students shall be able to: 1. Define basic statistical terms, including normal distribution, central tendency measures, variability, measurement levels, effect size, and probability.

2. Use statistical software to calculate and interpret descriptive statistics, explore data and solve statistical problems, and communicate statistical results according to the current APA style. 3. Describe statistical hypothesis testing, including rejecting and failing to reject the null hypothesis. 4. Choose an appropriate statistical procedure to solve educational research problems.

III.

COURSE OUTLINE A. INTRODUCTION TO STATISTICS 1. Definition of Statistics 2. Descriptive vs. Inferential Statistics 3. Levels of Data Measurement 4. Data Collection and Presentation 5. Frequency Distribution/Graphical/ Textual B. MEASURES OF CENTRAL TENDENCY 1. Mean 2. Median 3. Mode C. MEASURES OF LOCATION 1. Quartile 2. Decile 3. Percentile D. MEASURES OF VARIATION, SKEWNESS, AND KURTOSIS 1. Variability 2. Range 3. Interquartile Range 4. Semi-Interquartile 5. Range/Quartile Deviation 6. Mean Absolute Deviation

7. 8. 9. 10. 11.

Variance Standard Deviation Coefficient of Variation Skewness Kurtosis

E. COUNTING TECHNIQUES 1. Fundamental Principle of Counting 2. Factorial Notation 3. Permutation/Combination 4. Probability Theories 5. Probability Distribution 6. Normal/ Standard Normal Distribution F. PROBABILITIES 1. Mutually and non-mutually exclusive events 2. Independent and Dependent Events G. HYPOTHESIS TESTING 1. Statistical Hypothesis and Types of Hypothesis 2. Hypothesis Testing 3. Level of Significance 4. One-Tailed/ Two-Tailed Tests 5. Parametric Tests: t-Test and Z- Test H. MEASURES OF CORRELATION 1. Correlation and Scatter point Diagram 2. Pearson Product-Moment Correlation Coefficient 3. Other Interpretation of Pearson r: Coefficient of Determination 4. Testing the Significance

I. ANALYSIS OF VARIANCE 1. One Way ANOVA 2. Two Way ANOVA J. CHI-SQUARE AND OTHER NON-PARAMETRIC STATISTICS 1. Chi-Square Goodness of Fit Test 2. Contingency Analysis: Chi-Square Test of Independent 3. Spearman’s Rank Correlation 4. Wilcoxon Rank Rank Sum Test 5. Kendalls Coefficient of Concordance 6. Linear Regression and Multiple Linear RegressioN IV.

METHODOLOGIES A. Lecture Method (Virtual) B. Reportorial Method (Virtual) C. Individual and Group Case Analysis

V.

COURSE REQUIREMENTS A. B. C. D. E.

Reflection Paper Personal Development Plan (APA Format) Group and Individual Case Analysis Midterm Exam Final Exam

VI.

VII.

ASSESSMENT Quizzes

40%

(4)

Individual Case Analysis, Personal Dev’t. Plan and Reflection Paper

20%

(3)

Group Case Analysis

20%

(2)

Midterm and Final Exam

20%

(1)

TOTAL

100%

REFERENCES Textbooks Altares, P.S, et.al (2014). Elementary Statistics with Computer Applications: Rex Book Store. Arao, R.R., et al. (2015). Statistics: Based on CMO 03 Series 2007: Rex Book Store. Bueno, D.C. (2016). Introduction to Statistics: Concepts and Applications in Research: Great Books Trading. Danas, J.M. and Lumberio, C. R. (2015). Introduction to Elementary Statistics: Ist Edition.Mindshapers Co., Inc. De Guzman, D. (2017). Statistics and Probability: C & E-Publishing.

Online References What is Statistics? https://www.stat.uci.edu/what-is-statistics/ Statatistics.https://www.britannica.com/science/statistics Data Collection and Presentation. https://www.slideshare.net/ferdaus44/data-collection-and-presentation-56486243 Data Collection and Presentation. https://www.cimt.org.uk/projects/mepres/book7/bk7_11.pdf Frequency Distribution Table. https://www.statisticshowto.com/probability-and-statistics/descriptive-statistics/frequency-distribution-table/ Measures of Central Tendency. https://statistics.laerd.com/statistical-guides/measures-central-tendency-mean-mode-median.php

Measures of Central Tendency. https://statisticsbyjim.com/basics/measures-central-tendency-mean-median-mode/ Measures of the Center of the Data. https://philschatz.com/statistics-book/contents/m46928.html Measures of the Location of the Data. https://courses.lumenlearning.com/introstats1/chapter/measures-of-the-location-of-the-data/ Measures of Variability. https://statisticsbyjim.com/basics/variability-range-interquartile-variance-standard-deviation/ Measures of Variation. https://people.richland.edu/james/lecture/m170/ch03-var.html Cunting Techniques. https://faculty.elgin.edu/dkernler/statistics/ch05/5-5.html Permutations and Combinations. https://www.britannica.com/science/permutation Mutually Exclusive Event. https://www.google.com/search? q=mutually+exclusive+events+examples+with+solutions&oq=mutually+&aqs=chrome.5.69i57j0i67i433j0i67j0i67i433j0i67l4j0i20i263j0i20i263i43 3.8490j0j15&sourceid=chrom e&ie=UTF-8 Probability Theory. https://www.britannica.com/science/probability-theory Random Variables and Probability Distributions. https://www.stat.pitt.edu/stoffer/tsa4/intro_prob.pdf Normal Distributions(Bell Curve). https://www.statisticshowto.com/probability-and-statistics/normal-distributions/ Hypothesis Testing. https://www.pitt.edu/~super1/ResearchMethods/Arabic/HypothesisTestingpart1.pdf One Sample Hypothesis Test of Means. https://laulima.hawaii.edu/access/content/user/hallston/341website/17_one_sample_t_test.pdf Z Test. https://www.statisticshowto.com/probability-and-statistics/hypothesis-testing/z-test/ Pearson Product-Moment Correlation. https://statistics.laerd.com/statistical-guides/pearson-correlation-coefficient-statistical-guide.php Hypothesis Testing(ANOVA). anova_print.html

https://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_hypothesistesting-anova/bs704_hypothesistesting-

The Chi-Square Test of Independence. https://online.stat.psu.edu/stat500/lesson/8/8.1 Spearman’s Rank-Order Correlation. https://statistics.laerd.com/statistical-guides/spearmans-rank-order-correlation-statistical-guide.php

The Wilcon Rank Sum Test. https://data.library.virginia.edu/the-wilcoxon-rank-sum-test/ Kendall Coefficient of Concordance. https://www.real-statistics.com/reliability/interrater-reliability/kendalls-w/ An Introduction to Simple Linear Regression. https://www.scribbr.com/statistics/simple-linear-regression/ Linear Regression. https://www.statisticshowto.com/probability-and-statistics/regression-analysis/find-a-linear-regression-equation/...