    B.1 Statistics for the Behavioral Sciences

arith048 Order of operations with whole numbers
arith051 Order of operations with whole numbers and grouping symbols
arith220 Decimal place value: Hundreds to ten thousandths
arith221 Rounding decimals
arith226 Converting between percentages and decimals
arith030 Finding a percentage of a whole number without a calculator: Basic
arith069 Writing a ratio as a percentage without a calculator
arith090 Converting a percentage to a fraction in simplest form
arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50
stat022 Summation of indexed data
alge006 Solving a two-step equation with integers
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
alge256 Y-intercept of a line
alge257 X- and y-intercepts of a line given the equation in standard form
alge070 Writing an equation of a line given the y-intercept and another point
alge197 Graphing a line given its x- and y-intercepts
alge194 Graphing a line given its equation in slope-intercept form
alge196 Graphing a line through a given point with a given slope
Descriptive Statistics
stat904 Interpreting pie charts
stat901 Computations from pie charts
stat844 Double bar charts
stat702 Histograms for grouped data
stat703 Frequency polygons for grouped data
stat717 Interpreting relative frequency histograms
stat718 Cumulative distributions and ogives
stat164 Comparing means without calculation
stat165 Comparing standard deviations without calculation
stat023 Box-and-whisker plots
stat831 Interpreting a stem-and-leaf display
stat827 Using back-to-back stem-and-leaf displays to compare data sets
stat706 Mean, median, and mode: Computations
stat902 Rejecting unreasonable claims based on average statistics
stat007 Weighted mean: Tabular data
stat719 Estimating the mean of grouped data
stat009 Percentiles
stat021 Population standard deviation
stat011 Sample standard deviation
stat729 Estimating the standard deviation of grouped data
stat730 Chebyshev's theorem and the empirical rule
stat798 Mean, median, and mode: Comparisons
stat025 Transforming the mean and standard deviation of a data set
stat905 Making reasonable inferences based on proportion statistics
Probability
stat782 Factorial expressions
stat788 Combinations
stat789 Permutations
stat790 Permutations, combinations, and the multiplication principle for counting
stat117 Probabilities of draws with replacement
stat118 Probabilities of draws without replacement
stat119 Venn diagrams: Two events
stat100 Venn diagrams: Three events
stat101 Venn diagrams: Word problems
stat106 Outcomes and event probability
stat226 Die rolling
stat114 Probability of intersection or union: Word problems
stat115 Independent events: Basic
stat120 Probability of union: Basic
stat104 Mutually exclusive events: Two events
stat102 Mutually exclusive events: Three events
stat850 Probability of independent events
stat105 Independent events: Two events
stat103 Independent events: Three events
stat113 The curious die
stat020 Calculating relative frequencies in a contingency table
stat116 Conditional probability: Basic
stat851 Probability of dependent events
stat109 Intersection and conditional probability
stat107 Conditional probability: Mutually exclusive events
stat108 Conditional probability: Independent events
stat756 Tree diagrams for conditional probabilities
stat110 Law of total probabilities
stat111 Bayes' theorem
Random Variables and Distributions
stat777 Classification of variables and levels of measurement
stat142 Discrete versus continuous variables
stat151 Discrete probability distribution: Basic
stat143 Discrete probability distribution: Word problems
stat149 Cumulative distribution function
stat150 Expectation and variance of a random variable
stat153 Rules for expectation and variance of random variables
stat145 Marginal distributions of two discrete random variables
stat146 Joint distributions of dependent or independent random variables
stat147 Probabilities of two random variables given their joint distribution
stat148 Conditional probabilities of two random variables given their joint distribution
stat156 Binomial problems: Mean and standard deviation
stat174 Binomial problems: Basic
stat157 Standard normal probabilities
stat760 Standard normal values: Basic
stat159 Normal versus standard normal density curves
stat161 Normal distribution raw scores
stat162 Mean and deviation of a normal distribution
stat163 Normal distribution: Word problems
stat173 t distribution
stat170 Chi-square distribution
stat171 F distribution
stat187 Normal approximation to binomial
stat185 Central limit theorem: Sample mean
stat186 Central limit theorem: Sample sum
stat188 Central limit theorem: Sample proportion
Confidence Intervals and Hypothesis Testing
stat200 Selecting a distribution for inferences on the population mean
stat201 Confidence interval for the population mean: Use of the standard normal
stat202 Confidence interval for the population mean: Use of the t distribution
stat203 Confidence interval for a population proportion
stat204 Confidence interval for the population standard deviation
stat205 Confidence interval for the difference of population means: Use of the standard normal
stat206 Confidence interval for the difference of population means: Use of the t distribution
stat207 Confidence interval for the difference of population proportions
stat208 Confidence interval for the ratio of population variances
stat755 Choosing an appropriate sample size
stat190 Type I and Type II errors
stat192 Type I and Type II errors and power
stat194 Effect size, sample size, and power
stat300 Determining null and alternative hypotheses
stat301 Hypothesis test for the population mean: Z test
stat302 Hypothesis test for the population mean: t test
stat303 Hypothesis test for a population proportion
stat304 Hypothesis test for the population variance or standard deviation
stat305 Hypothesis test for the difference of population means: Z test
stat309 Hypothesis test for the difference of population means: Paired comparisons
stat306 Hypothesis test for the difference of population means: t test
stat307 Hypothesis test for the difference of population proportions
stat308 Hypothesis test for the ratio of population variances
Regression and Correlation
stat339 Sketching the least-squares regression line
stat333 Linear relationship and the sample correlation coefficient
stat340 Predictions from the least-squares regression line
stat930 Computing the sample correlation coefficient and the coefficients for the least-squares regression line
stat931 Explained and unexplained variation and the least-squares regression line
stat325 Confidence intervals and prediction intervals from simple linear regression
stat947 Hypothesis tests for the correlation coefficient and the slope of the least-squares regression line
stat400 Interpreting the regression coefficients
stat401 Identifying degrees of freedom
stat402 ANOVA table: Problem type 1
stat403 ANOVA table: Problem type 2
stat404 F test of a multiple regression model
stat405 t test of a multiple regression model
ANOVA, Chi-square and Nonparametric Tests
stat422 ANOVA: Mean squares and the common population variance
stat423 ANOVA: Degrees of freedom and the F statistic
stat424 ANOVA: Hypothesis tests and the ANOVA table
stat430 One-way, repeated-measures ANOVA
stat442 Interpreting group means from a factorial design
stat443 Two-way, independent-samples ANOVA
stat440 Selecting among t tests and ANOVA tests
stat319 Contingency tables: Expected frequencies
stat320 Chi-square goodness-of-fit test
stat321 Chi-square test of independence
stat326 Sign test
stat327 Wilcoxon signed-ranks test
Quality Control
stat500 Trend lines for yearly data
stat501 Seasonal indexes: Multiplicative model
stat502 Moving averages
stat503 Ratio-to-moving-average method
stat504 Exponential smoothing
stat505 Regression with seasonal indicators
stat600 Interpreting a control chart
stat601 R charts
stat602 x-bar charts
stat603 p charts
stat604 c charts
stat605 Acceptance sampling
stat606 Estimating sigma from an R chart