Statistics. Basic principles (Natalia Shyriaieva)

001. Preface
002. The Importance of Statistics
003. Statistical Observation: Forms and Types
004. Basic Definitions
005. The Importance of Sampling
006. The Functions of Statistics
007. Levels of Measurements
008. Chapter Checklist
009. Describing data sets. Organization and grouping. Introduction. Methods of Organizing Data
010. Frequency Distributions
011. Class Intervals and Midpoints
012. Cumulative Frequency Distributions
013. Relative Frequency Distributions
014. Cumulative Relative Frequency Distribution
015. Contingency Tables (Cross-Tabulations or Cross-Tabs)
016. Pictorial Displays
017. Stem – And – Leaf Designs
018. Chapter Checklist 2
019. Measures of central tendency and dispersion. Introduction
020. Measures of Central Tendency for Ungrouped Data
021. The Geometric Mean
022. Measures of Central Tendency for Grouped Data
023. Selecting the Appropriate Measure of Central Tendency
024. Measures of Dispersion for Ungrouped Data
025. Variance and the Standard Deviation for a Population
026. Variance and the Standard Deviation for a Sample
027. Calculating the Variance and Standard Deviation with Grouped Data
028. Other Measures of Dispersion
029. Common Uses for the Standard Deviation
030. The Normal Distribution and the Empirical Rule
031. Skewness and Coefficient of Variation
032. Chapter Checklist 3
033. Рrobability distributions. Principles of Probability
034. Probability Approaches
035. Relationships between Events
036. Unions, Intersections and Venn Diagrams
037. Frequency Tables and Probability Tables
038. Two Rules of Probability
039. Baye’s Rule and Conditional Probability
040. Probability Distributions
041. The Mean and the Variance of Discrete Random Variables
042. The Binomial Distribution
043. The Poisson Distribution
044. The Hypergeometric Distribution
045. The Uniform Distribution
046. The Exponential Distribution
047. Chapter Checklist 4
048. Sampling distributions: an introduction to inferential statistics. Introduction
049. The Mean of the Sample Means
050. The Standard Error of the Sampling Distributions
051. The Standard Error and Normality
052. The Central Limit Theorem
053. Using the Sample Distribution
054. Types of Samples
055. Chapter Checklist 5
056. Estimation/ Introduction
057. Тhe Principle of a Confidence Interval
058. The Probability of Error–The Alpha Value
059. Confidence Intervals for the Population Mean – Large Samples
060. Confidence Intervals for the Population Mean – Small Samples
061. Confidence Intervals for Population Proportions
062. Controlling the Interval Width
063. Adjusting the Level of Confidence
064. Adjusting the Sample Size
065. Determining the Sample Size
066. Sample Size for the population mean
067. Sample Size for intervals of population proportion π
068. Properties of Good Estimators
069. Chapter Checklist 6
070. Simple regression and correlation analysis. Introduction
071. The Basic Objective of Regression Analysis
072. Ordinary Least Squares Method (the line of best fit)
073. The Y-Values Are Assumed to Be Normally Distributed
074. The Standard Error of the Estimate: A Measure of Goodness-of-Fit
075. Correlation Analysis. Coefficient of Determination
076. Coefficient of Correlation
077. Interval Estimation in Regression Analysis
078. The Conditional Mean for Y
079. The Predictive Interval for a Single Value of Y
080. Hypothesis Test about the Population Correlation Coefficient
081. Testing Inferences about the Population Regression Coefficient. A Confidence interval for β1
082. Chapter Checklist. You Make the Decision
083. Time series analysis and forecasting/ Introduction
084. Time Series and Their Components
085. Secular Trend
086. The Seasonal Component
087. Cyclical Variations
088. Time-Series Models
089. Smoothing Techniques
090. Moving Averages
091. Exponential Smoothing
092. Decomposition of a Time Series
093. Seasonal Variation
094. Cyclical Variation
095. Irregular Variation
096. Chapter Checklist 7
097. Index numbers. Introduction
098. A Simple Price Index
099. Composite Price Indexes
100. Weighted Composited Price Indexes
101. Average of Relatives Method
102. Selection of the Base Period
103. Specific Indexes
104. Uses for the CPI
105. Chapter Checklist 8
106. Test your knowledge. Graphical Displays of Data
107. Numerical Measures of Central Tendency for Ungrouped Data
108. Numerical Measures of Variability for Ungrouped Data
109. Simple Regression
110. Sampling Distributions and the Central Limit Theorem
111. Confidence Intervals Large Samples
112. Literature
113. Distribution tables
114. Table B – Z-test (The Standard Normal Distribution)
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