Course Objectives

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Applied statistics is a science that uses statistical principles and methods to study data collection and analysis in areas such as business management and regional development. Through this course, students should understand the role of statistics in the modern economics and the characteristic of statistics, grasp statistical data collection and analysis based on several commonly used methods of statistical inference, and know how to deal with both qualitative and quantitative variables and conduct scientific research.

Course Requirements

The teachers should emphasize the practical skill in economics and the analysis for the phenomena in social science, and help students understand the basic thought of the statistics, and should avoid the complex proof on the mathematics, use some statistical software to illustrate how to do the calculation.

Course Contents

In the first chapter, students should know what is meant by statistics,why study statistics, types of statistics, levels of measurement..

In the second chapter, students should know how to construct a frequency distribution, what is relative frequency distribution, what is a frequency distribution, what is a histogram, what is a frequency Polygon and other graphic presentations of data and how to construct them

In the third chapter, students should know  what is population means, and what is the sample mean, the properties of arithmetic mean, what is the weighted mean, the meaning of median and mode, what is geometric mean, and how to calculate them, know how to use them according to various conditions, know the relative positions of the mean, median, mode.

In the fourth chapter, students should know why study dispersion? What measures can be used to describe dispersion, the meaning of range, mean deviation, variance and standard deviation, how to explain and use the standard deviation, know the Chebyshev’s Theorem and the empirical rule

In the fifth chapter, students should know what is a probability, approaches to probability, the meaning of Classical Probability, .Empirical Concept, and Subjective Probability, learn some rules of probability, learn rules of addition and rules of multiplication, learn how to use them in the application.

In the sixth chapter, students should know what is a probability distribution, the meaning of random variables, what is a discrete random variable and what is a continuous random variable, know the definition of the mean, variance, and standard deviation of a probability distribution, and how to calculate them.

In the seventh chapter, students should know what is normal probability distribution, the family of normal distribution, the meaning of standard normal, how to calculate areas under the normal curve and find areas under the normal curve, and find the probability of a normal variable being less than a particular value

In the eighth chapter, students should know how to sample the population, the types of probability sampling methods:  

1. Simple random sampling,

2.Systematic random sampling,

3.Stratified random sampling,

4.Cluster sampling, know the features of these probability sampling methods, know the meaning of the sampling “error”, the meaning of sampling distribution of the sample mean, the essence of the central limit theorem, and how to use the sampling distribution of the sample mean to make a estimate about a mean.

In the ninth chapter, students should know the meaning of point estimates and confidence intervals, know how to construct a confidence interval for mean in different situations, how to construct confidence interval for a proportion, the meaning of finite-population correction factor, how to choose an appropriate sample size.

In the tenth chapter, students should know what is a hypothesis? What is hypothesis testing, Five-step procedures for testing a hypothesis; the meaning of one-tailed and two-tailed tests of significance, the meaning of p-value in hypothesis testing, how to test for a population mean: large sample, population standard deviation unknown, test for a population mean: small sample, population standard deviation unknown, testing concerning proportions.

Credits: 3