course syllabus 1. course code: mathem4/bastat1 2 ... - UBMATH

COURSE SYLLABUS 1. COURSE CODE:

MATHEM4/BASTAT1

2. COURSE TITLE:

BASIC STATISTICS

3. PRE-REQUISITE:

MATHEM2

4. COURSE CREDIT:

3 UNITS

5. COURSE DESCRIPTION:

This course concentrates on the importance and uses of statistical tools

needed in the different types of research. It includes (1) descriptive statistics that deals with the collection, organization and presentation of data and (2) inferential

statistics that deals with the analysis and interpretation of data which is the main focus. This course provides an overview of descriptive and inferential statistics in

the behavioral sciences, social sciences, health sciences, and education. It presents the methods and unifying ideas of data analysis, and the usefulness of data

analysis; discusses random sampling which is an important idea in statistics and

research; present the central idea of sampling distribution which is an important fact of probability; describes the reasoning of statistical inference which is the cornerstone of this course; and present methods of inference for various settings, with a strong emphasis on practical aspects of using these methods. 6. COURSE REQUIREMENTS: 6.1.

Periodical Examinations – Preliminary, Midterm, Final

6.3.

Calculator

6.2.

6.4.

Assignments, Seat Works, Quizzes and Working Papers

Regular Attendance

7. MAJOR COURSE METHODOLOGIES: 7.1.

Lecture-Discussion

7.3.

Problem-Solving

7.2.

Lecture-Demonstration

8. COURSE OBJECTIVES:

At the end of the term, the student will be able to: 8.1.

Cognitive:

8.1.1.

Keenly recognizes and demonstrates correct usage of statistical

procedures in solving problems applicable to society, politics, environment, economy, and health and evaluates the relevance of Statistics in everyday life situations;

8.1.2.

Integrates learning by evaluating the relevance of statistical data

and assessing the adequacy with which conclusions are supported by statistical

data into a plan for solving statistical problems applicable to natural and social sciences. 8.2.

Affective:

8.2.1.

Demonstrates industry, punctuality, self-discipline and self-

reliance that use objective approach in working problems independently, and practices cooperation in group activities with good health habits; 8.2.2.

Understands and accepts his own strengths and limitations in

learning, accepts responsibility for his own behavior and formulates a life plan

in harmony with his abilities, interests and beliefs about the role of statistics in promoting one’s country and culture. 8.3.

Psychomotor:

8.3.1.

Collects, organizes, summarizes, and presents statistical data with

the use of various statistical measures neatly, legibly and solve problems applicable to natural and social sciences using appropriate statistical tools with interest and gusto. 8.3.2.

Correctly analyzes and interprets statistical data and presents

analytical report in promoting one’s country in the age of globalization. 8.4.

Values to be internalized:

Show one’s mastery, skills and self-reliance in working independently

about the role of statistics and its application to natural and social sciences;

develop one’s potential of logical thinking in solving problems and cultivate real appreciation and interest of the many applications of statistics.

9. COURSE COVERAGE:

Course Syllabus

COURSE OUTLINE

VMG

1 hour

Seat Plan

Leveling of Expectations 9.1.

UNIT I. INTRODUCTION TO STATISTICS

9.1.1. Definition of Terms

9.1.2. Descriptive and Inferential

9.1.3. Types and Level of Measurements of Data 9.1.4. Population and Sample

9.1.5. Random Sampling Techniques 9.1.6. Methods of Collection of Data 9.1.7. Frequency Distribution

9.1.8. Methods of Presenting Data

(3 hours) 0.30

0.30

0.40

0.50

0.50

0.25

0.50

0.25

9.2.

UNIT II. DESCRIBING, EXPLORING, AND COMPARING DATA 9.2.1. Summarizing Data with Frequency Tables 9.2.2. Pictures of Data

9.2.3. Measures of Central Tendency 9.2.4. Measures of Variation 9.2.5. Measures of Position

9.2.6. Exploratory Data Analysis (EDA)

(11 hours) 2.0 1.0 2.0 2.0

2.0 2.0

FIRST GRADING EXAMINATION 9.3.

UNIT III. NORMAL PROBABILITY DISTRIBUTIONS 9.3.1. Standard Normal Distribution

1.5

9.3.4. The Central Limit Theorem: Sampling Distributions

1.5

UNIT IV. ESTIMATES AND SAMPLE SIZES

9.4.1. Estimating a Population Mean: Large and Small Samples

9.4.2. Determining Sample Size

9.4.3. Estimating a Population Proportion 9.4.4. Estimating a Population Variance 9.5.

1.5

9.3.2. Nonstandard Normal Distributions: Finding Probabilities

9.3.3. Nonstandard Normal Distributions: Finding Values

9.4.

(6 hours)

UNIT V. HYPOTHESIS TESTING

9.5.1. Fundamentals of Hypothesis Testing

9.5.2. Testing a Claim about a Mean: Large and Small Samples 9.5.3. Testing a Claim about a Proportion

1.5

(3 hours) 1.0 0.5 1.0

0.5

(5 hours) 1.0 2.5 1.5

SECOND GRADING EXAMINATION 9.6.

UNIT VI. INFERENCES FROM TWO SAMPLES 9.6.1. Inferences about Two Means:

Independent and Large Samples

9.6.2. Inferences about Two Proportions 9.6.3. Inferences about Two Means: Matched Pairs

9.6.4. Inferences about Two Means:

Independent and Small Samples

9.7.

UNIT VII. CORRELATION AND REGRESSION

9.7.1. Correlation 9.7.2. Regression

9.8.

UNIT VIII. CHI-SQUARE TEST

9.8.1. Multinomial Experiments: Goodness-of-Fit Test

9.8.2. Contingency Tables: Independence and Homogeneity

(6 hours) 1.5

1.5

1.5 1.5

(2 hours) 1.0 1.0 (2 hours) 1.0 1.0

9.9.

UNIT IX. ANALYSIS OF VARIANCE

(2 hours)

9.9.1. One-Way Analysis of Variance: In-Between

9.10. UNIT X. NONPARAMETRIC STATISTICS

(3 hours)

9.10.1. Kruskal-Wallis Test

1.5

9.10.2. Rank Correlation

1.5

FINAL GRADING EXAMINATION 10. GRADING SYSTEM: Refer to the Student Handbook and Faculty Manual 11. REFERENCES: Altares, P. S., e. al. (2003). Elementary Statistics: A Modern Approach. Manila, Philippines: Rex Bookstore Inc.

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PREPARED BY:

NON-ENGINEERING MATHEMATICS FACULTY