Shayib Mohammed A. Applied Statistics

2nd ed. — Bookboon, 2013. — 300 p. — ISBN: 978-87-403-1210-2.Applied Statistics is a compendium, an elementary introduction to the growing field of statistics. In this consize volume we emphasize on the concepts, definitions and terminology. With no doubt in mind, linking the three building blocks, mentioned above, will provide any person with a strong hold on the subject of statistics.
The material had been presented in such a way that only College Algebra can be a prerequisite for the course that covers the whole text in one semester. The material is presented in 6 chapters.
Chapter 1 is about collecting, and organizing qualitative and quantitative data, as well as summarizing the data graphically or numericall regardless if the data were discrete or continuous.
Chapter 2 introduces the notion of probability, its axioms, its rules, and applications. In addition to that, Chapter 2 contains material on probability distributions and their characteristics for discrete and continuous cases.
Chapter 3 covers the first main part of inferential statistics; namely estimation in its two branches: point and interval estimation by introducing the sample statistics as estimators for the population parameters.
Chapter 4 is concerned about the second part of inferential statistics, namely hypothesis testing about one parameter of a population, or two parameters of two populations. In this chapter there is an outline, and procedure on how to implement the steps in hypothsis testing when using the two methods; the classical or the traditional method and the p-value method. The detailed exposure of the two methods will enable the reader, and the student to reach a comprehensive and sound conclusion by using information found in data.Descriptive StatisticsDescriptive Statistics
Frequency Distributions
Graphical Presentation
Summation Notation
Numerical Methods for Summarizing Quantitative Data
Some Properties of the Numerical Measures of Quantitative Data
Other Measures for Quantitative Data
Methods of Counting
Description of Grouped Data
Random Variables and Probability DistributionsProbability
Operations and Probability calculation on Events
Random Variables
Expected Value and Variance of a Random Variable
Some Discrete Probability Distributions
Normal Distribution
Estimation
Sampling
Point Estimation
Interval Estimation
Confidence Interval about One Parameter
Sample Size Determination
Confidence Interval about two Parameters
Testing of Statistical HypothesesFundamental Concepts
Methods in Testing a Statistical Hypothesis
Hypothesis Testing About One Parameter
Hypothesis Testing Concerning Two Parameters
Simple Linear Regression and CorrelationRegression Models
Fitting a straight line (First order Model)
Correlation
Hypothesis Testing in Regression Analysis
Confidence Interval on β0 and β1
Other Tests and Analysis Of VarianceGoodness-of-Fit Tests
Contingency Tables
The one-Way Analysis of Variance.