Medical Statistics

Overview

The main topics of this course include: Introduction and Basic Concepts of medical statistics, Descriptive Statistics, Probability and Distributions, Sampling Error and Confidence Interval, Hypothesis Testing for Continuous Variable, Analysis of Variance, Nonparametric Test Based on Ranks, Chi-square Test for Categorical Variable, Simple Correlation analysis, Simple Linear Regression, Statistical Principles of Experimental Design, and Statistical Table and Charts.

Syllabus

1. Introduction and Basic Concepts

1.1 Marriage between Statistics & Medicine ---- Evolution within 200 years
1.2 Statistics ---- The natural affine of Public Health
1.3 Medical Statistics ---- Primary course for Health Professionals
1.4 Basic Concepts

2. Descriptive Statistics

2.1 Frequency Table and Histogram
2.2 Measurement for Average Level of a Sample
2.3 Measurement for Variation of a Sample
2.4 Relative Measures and Standardization Approaches

3. Probability and Distribution

3.1 Normal Distribution
3.2 Binomial Distribution
3.3 Poisson Distribution
3.4 Reference Range

4. Sampling Error and Confidence Interval

4.1 Distribution of Sample Means
4.2 t Distribution
4.3 Confidence Interval for Population Mean
4.4 Confidence Interval for Probability

5. Hypothesis Testing for Continuous Variables

5.1 Specific Logics of Hypothesis Testing
5.2 One sample t test and paired sample t test
5.3 Two independent samples t test

6. Analysis of Variance

6.1 Preparations for ANOVA
6.2 Completely Randomized Design and One-way ANOVA
6.3 Randomized Block Design and Two-way ANOVA
6.4 Multiple Comparisons and Preconditions of ANOVA

7. Nonparametric Test Based on Ranks

7.1 Basic logics of Nonparametric Tests based on ranks
7.2 Wilcoxon's signed rank sum test (matched pairs)
7.3 Wilcoxon's rank sum test (two samples)
7.4 Kruskal-Wallis' H test (k independent samples)
7.5 Friedman test (k groups of randomized block design)

8. Chi-square Test for Categorical Variable

8.1 Chi-square Test for Comparison between Two Independent Sample Proportions
8.2 Chi-square Tests for Binary Variables in a Paired Design
8.3 Chi-square Test for R×C Contingency Table
8.4 Chi-square Test for Goodness of Fit of a distribution

9. Simple Linear Correlation

9.1 Statistical description of linear correlation-Scatter plot
9.2 Statistical description of linear correlation-Pearson's correlation coefficient
9.3 Hypothesis testing for linear correlation
9.4 Preconditions and applications of linear correlation
9.5 Spearman's rank correlation
9.6 Association between Categorical Variables