Study Guides for Statistics at Australian National University

Quantitative and Categorical: Sampling distribution Bootstrap - When numbers are in categories they are ...

Probability: Standard Deviation of the Error (residual Standard ( ) P(B if A) = Error): () ...

2.1 Categorical variables 3.3 Constructing bootstrap condence intervals ...

Complement: P(not A) = 1P(A). The standard normal distribution has mean zero and standard deviation 10.3 dropping a predictor will not explain more Additive: P(A or B) = P(A)+P(B)P(A and B). one, Z N(0, 1). variability Mul...

Distribution of a Sample Proportion The standard error for is (1). The larger the sample size, the smaller the SE. Sufficiently Large n The larger the sample size...

Inference for Slope and Correlation Simple Linear Model The population/true simple linear model is: 0and 1are unknown parameters. Estimate the least square line: = + ...

Describing Data 2.1 Categorical (Discrete) Variables One Categorical Variable Frequency table shows the number of cases that fall in each category. The proportion in a category is found by number in that catego...

Probability 11.1 Probability Rules Event something that either happens or doesnt happen (is true or is not true). Probability of event (A) is the long-run frequency or proportion of times the event occurs. ...

4.1 Hypothesis Tests Statistical test - uses data from a sample to assess a claim about a population. Statistical tests are framed formally in terms of two competing hypotheses: Null hypothesis (H ) - clai...

Normal Distribution Density Curve A density curve is a theoretical model to describe a variable's distribution. Think of a density curve as an idealised histogram, where: 1. The total area under the curve is e...

Multiple Regression Response variable: Y (quantitative) k predictors: X1, X2, Xk(quantitative or 0/1 categories) Model: Y = 0 X 1 1X +2 2+ X +k k ~ N(0,) and independent. What to do? Estimat...

Sampling Distributions Statistic a number that is computed from data in a sample. Parameter a number that describes some aspect of a population. Point estimate - we use the statistic from a sample as a poi...

Collecting Data Data are a set of measurements taken on a set of individual units. 1.1 The Structure of Data Cases - the subjects/objects that we obtain information about. Variable - any characteristic th...

2.6 Two Quantitative Variables: Linear Regression The Regression Line The regression line provides a model of a linear association between two variables, and we can use the regression line on a scatterplot t...