Essential Statistics for Economics, Business and Management

Introduction:
... An overview of statistics
... evolution of statistics as a scientific discipline
... statistics in social sciences
... business
... economics
... engineering
... research
... Role of statistics in Quality
... Use and misuse of statistics

1 Descriptive statistics I: Data collection
... summary statistics
... measures of dispersion
... graphical presentation.

2 Descriptive statistics II: Regression and correlation
... rank correlation

3 Time Series
... Index numbers

4 Probability I: Axioms of probability
... independent, mutually exclusive and dependent events
... AND and OR rules
... Baye's Theorem

5 Probability II: Probability distributions.

Empirical univariate and bivariate distributions;
Probability distributions
... Discrete uniform
... Binomial
... Poisson Continuous
... Normal
... Exponential;

6 Functions of random variables
Expected values. means
... variance
... covariance;
Sums and difference of normal independent random variables
Part II: Statistical Inference
Populations and samples
... point estimators
... desirable properties of point estimators
... central limit theorem
... sampling distributions of means and proportions.


8 Confidence intervals
Means
... difference between means (paired and independent samples) based on large and small samples.

Proportions and difference between proportions
Variance
Basic control charts for means
Tests of Hypothesis for means, proportions, difference between means,
difference between proportions, variance, equality of variance
Type I and Type II errors
... p-values
... Power of a test
... OC curve

10 Chi-squared tests
... equality of several proportions
... goodness of fit
... independence
... homogeneity of two or more populations
Regression and correlation analysis
... simple linear regression model
... tests for
linear relationship
... confidence intervals;

12 Analysis of variance
... One-way analysis
...