The first test will be given on Thursday, September 18 during class. It will cover the following material. You can use a page of your own notes during the test and don't forget to bring a calculator.
Chapter 1: Statistics: The Art and Science of Learning from Data
- You should know what the design, description, and inference for
a statistical study are. You should know the difference between a
parameter and a statistic as well as a population and a sample.
Chapter 2: Exploring Data with Graphs and Numerical Summaries - You
should
be able
to construct and interpret histograms, bar graphs, stemplots, pie
charts,
and time plots. You should be able to determine if a distribution is
symmetric
or skewed, or if it has any outliers. You should also know the
difference
between categorical and quantitative variables. Given a
data set,
you should be able to determine its mean, median, standard deviation,
quartiles,
and five number summary. You should know when a mean is appropriate to
use and when a median is appropriate and how the shape of a
distribution
affects the mean and median. You should know what the interquartile
range
is and be able to construct boxplots. You should also be able to
estimate the standard deviation of a data set, use the Empirical Rule,
and know what a z-score is.
Chapter 3: Association: Contingency, Correlation, and Regression - You should know the difference between explanatory and response variables. You should be able to read a contingency table and understand the difference between marginal and conditional distributions. You should also understand Simpson's paradox and why a reversal of a comparison can happen when data is aggregated. You should be able to construct a scatterplot and describe its direction, form, and strength. You should know what correlation measures, some of its properties, and its limitations. You should also know how to roughly determine the correlation by just looking at a scatterplot. You should be able to plot a regression line, use a regression equation to predict an outcome for a given input, and know what the y-intercept and slope mean in the context of the application. You should know how to calculate residuals. You should know what the following terms mean and how they affect correlation and regression: lurking variables, influential observations, and extrapolation. You should know the relationship between correlation and causation. You should also know how a correlation based on averages is different than a correlation not based on averages.
Chapter 4: Gathering Data - You should know the
difference between an experiment and an observational study. You
should know what bias and variability
are
and how each are controlled. You should know what a simple random
sample is. You should also know how volunteer response affects a
sample. You should know what response bias, non response bias,
and sampling bias are. You should know what
the
following
words mean in terms of designing experiments: experimental units
(subjects),
factors, response variable, placebo effect, control group, and
double-blind.
Chapter
5: Probability in our Daily Lives - You
should be able to
describe what the
probability
of some event means. You should know what the following
terms
are: probability model, sample space, event, complement, independent,
and disjoint.
You should also know and be able to use the basic properties of
probability
mentioned at the end of section 5.2. You should also know what a
random variable
is and what a probability distribution is. You should know what
independent events
are and know how to determine if events are independent. You
should understand (and be able to use) the multiplication rule for
independent
events. Given a two-way table (with either
counts or probabilities), you
should
know how to find conditional probabilities. You should understand (and
be able to use) the general multiplication rule for any two events. You
should be able to use the formula given as the definition of
conditional
probability. You should be able to use tree diagrams and Venn
diagrams to help you solve probability problems.