Page 21 - Statistics for Dummies
P. 21

Introduction
                                                    interval (such as sample size) and work through formulas, step-by-step calcu-
                                                    lations, and examples for the most commonly used confidence intervals.
                                                    The hypothesis tests in this part show you how to use your data to test
                                                    someone’s claim about one or two population means or proportions, or the
                                                    difference between them. (For example, a company claims their packages are
                                                    delivered in two days on average — is this true?) You discover how research-
                                                    ers (should) go about forming and testing hypotheses and how you can
                                                    evaluate their results for accuracy and credibility. You also get detailed step-
                                                    by-step directions and examples for carrying out and interpreting the results
                                                    of the most commonly used hypothesis tests.
                                                    Part V: Statistical Studies and the Hunt
                                                    for a Meaningful Relationship
                                                    This part gives an overview of surveys, experiments, and observational stud-  5
                                                    ies. You find out what these studies do, how they are conducted, what their
                                                    limitations are, and how to evaluate them to determine whether you should
                                                    believe the results.
                                                    You also get all the details on how to examine pairs of numerical variables
                                                    and categorical variables to look for relationships; this is the object of a great
                                                    number of studies. For pairs of categorical variables, you create two-way tables
                                                    and find joint, conditional, and marginal probabilities and distributions. You
                                                    check for independence, and if a dependent relationship is found, you describe
                                                    the nature of the relationship using probabilities. For numerical variables you
                                                    create scatterplots, find and interpret correlation, perform regression analyses,
                                                    study the fit of the regression line and the impact of outliers, describe the rela-
                                                    tionship using the slope, and use the line to make predictions. All in a day’s work!
                                                    Part VI: The Part of Tens
                                                    This quick and easy part shares ten ways to be a statistically savvy sleuth
                                                    and root out suspicious studies and results, as well as ten surefire ways to
                                                    boost your statistics exam score.
                                                    Some statistical calculations involve the use of statistical tables, and I provide
                                                    quick and easy access to all the tables you need for this book in the appen-
                                                    dix. These tables are the Z-table (for the standard normal, also called the
                                                    Z-distribution), the t-table (for the t-distribution), and the binomial table (for —
                                                    you guessed it — the binomial distribution). Instructions and examples for using
                                                    these three tables are provided in their corresponding sections of this book.










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