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Making Sense of Data through Statistics: An Introduction - Second Edition

Making Sense of Data through Statistics: An Introduction – SECOND EDITION

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This introductory statistics textbook exposes students to statistical techniques in a user-friendly approach emphasizing the sense-making nature of statistics. The Second Edition adds new content on business analytics, enhances explanations of key concepts and techniques, and incorporates updated examples and exercises. The target audience includes undergraduate or graduate students taking a first course in statistics. The text’s examples and exercises emphasize problems and questions related to today’s social and business contexts.


 




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Introduction to Data and Statistics – SECOND EDITION

Introduction to Data and Statistics

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  • Variables and Data
  • Data Types
  • Scales of Measurement
  • Populations and Samples
  • Sampling Approaches
  • Sample Size
  • A Quick Look at Data Collection
  • From Statistics to Analytics

 


Data Presentation – SECOND EDITION

Data Presentation

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  • Frequency Tables
  • Frequency Tables for Qualitative Data
  • Frequency Tables for Quantitative Data
  • Column Chart
  • Histogram
  • Stem-and-Leaf Plot
  • Relative Frequency
  • Cumulative Relative Frequency
  • Comparing Nominal Data
  • Describing the Relationship between Two Quantitative Variables
  • Describing Time Series Data

 




Measures of Centrality and Variation – SECOND EDITION

Measures of Centrality and Variation

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  • Measures of Centrality
  • The Mean
  • The Median
  • The Mode
  • Measures of Variation
  • Variance
  • Standard Deviation
  • Coefficient of Variation
  • Percentiles: Measures of Relative Standing
  • Interquartile Range and Box Plots

 


Probability – SECOND EDITION

Probability

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  • The Vocabulary of Probability Theory
  • Assigning Probability
  • Relationships Between Events
  • Contingency Tables
  • The Addition Rule
  • Conditional Probabilities
  • The Multiplication Rule
  • Bayes’ Theorem

 


Discrete Probability Distributions – SECOND EDITION

Discrete Probability Distributions

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  • Random Variables
  • Probability Distribution
  • Bivariate Probability Distributions
  • The Binomial Distribution
  • Binomial Probability Distribution in Excel
  • Mean and Variance of the Binomial Distribution
  • The Poisson Distribution

 




Continuous Probability Distributions – SECOND EDITION

Continuous Probability Distributions

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  • Continuous Probability Distributions
  • The Uniform Distribution
  • The Normal Distribution
  • The t-Distribution
  • The χ2 Distribution
  • The F-Distribution
  • Working with the Normal Distribution
  • Determining Normal Distribution Probabilities with Excel and with the Standard Normal Distribution Table
  • P-Value
  • Inverse Probability Calculations

 


Introducing Hypothesis Testing – SECOND EDITION

Introducing Hypothesis Testing

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  • Stating Hypotheses
  • Properly Formulating Hypotheses
  • Sampling Distribution of the Mean
  • The Central Limit Theorem
  • Working with the Sampling Distribution of the Mean
  • Solving Problems by Integrating Concepts from Multiple Chapters
  • The Logic of Hypothesis Testing
  • Type I and Type II Errors

 


Additional Concepts in Hypothesis Testing – SECOND EDITION

Additional Concepts in Hypothesis Testing

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  • The t-Distribution
  • Hypothesis Test of the Population Mean when the Population Standard Deviation is Unknown
  • Confidence Interval for a Single Population Mean
  • Confidence Interval for the Population Mean when Sigma is Known
  • Confidence Interval for the Population Mean when Sigma is Unknown

 


Hypothesis Testing for a Population Proportion and Variance – SECOND EDITION

Hypothesis Testing for a Population Proportion and Variance

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  • Test of a Single Population Proportion
  • Sampling Distribution of Proportions
  • Conducting a Hypothesis Test of a Single Population Proportion
  • Confidence Interval for a Single Population Proportion
  • Test of a Single Population Variance
  • The χ2 Distribution
  • Conducting a Hypothesis Test of a Single Population Variance
  • Confidence Interval for a Single Population Variance

 




Hypothesis Testing of Parameters from Two Populations – SECOND EDITION

Hypothesis Testing of Parameters from Two Populations

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  • Test of Two Populations’ Proportions
  • Confidence Interval for the Difference between Two Populations’ Proportions
  • Test of Two Populations’ Variances
  • The F-Distribution
  • Continuing with the Test of Two Populations’ Variances
  • Confidence Interval for the Ratio of Two Populations’ Variances
  • Test of Two Populations’ Means
  • Test of Two Populations’ Means: Equal Variances and Independent Samples
  • Test of Two Populations’ Means: Unequal Variances and Independent Samples
  • Test of Two Populations’ Means: Paired Samples
  • Confidence Interval for the Difference between Two Populations’ Means
  • Bringing It All Together

 


Chi-Square Tests – SECOND EDITION

Chi-Square Tests

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  • Goodness of Fit Test
  • Goodness of Fit Test for Normality
  • Sample Size Considerations
  • Test of Independence

 


Analysis of Variance – SECOND EDITION

Analysis of Variance

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  • Terminology and Assumptions
  • One-Way ANOVA
  • Using Excel
  • Two-Way ANOVA
  • Randomized Block ANOVA Design
  • Two-Factors ANOVA
  • Interpreting Interaction Effects

 


Regression Analysis – SECOND EDITION

Regression Analysis

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  • Terminology and Assumptions
  • Conducting Regression Analysis
  • The Coefficient of Determination (R2)
  • The Standard Error of the Estimate (Sε)
  • The ANOVA Test
  • The Regression Coefficients
  • Improving the Model
  • Qualitative Independent Variables
  • Understanding the Intercept
  • Confidence and Prediction Intervals