STAT 100, Section 4: Statistical Concepts and Reasoning

Fall 2008


Exam 1: Wednesday, Sept. 24

This exam will be worth 100 points (out of 500 for the whole course). Students are responsible for all material covered in lectures and all material in Chapters 1, 3, 4, 5, 7, and 8 of the textbook.

There are some sample exam 1 questions available, along with answers to most of the questions.

Update

Now that the exam has occurred, you may stop by to pick up your exams if you wish. Here are the answers to all ten exam versions:

The following brief outline of topics from the book is not an exhaustive list of things you need to know, but it may help you make sure you have covered the main ideas.

Chapter 1

Definition of the term "statistics"

Definitions: population, sample

Observational study vs. randomized experiment

Randomized experiments allow the inference of causation

Dangers of attempting to infer causation from observational studies


Chapter 7

Graphical and numerical summaries

Types of graphs for measurement data; their advantages and disadvantages

Stemplot (order the data, etc.)

Histograms (evaluating the shape of the data)

Boxplots (detecting outliers, comparing two or more samples by examining medians, IQRs, outliers)

Possible shapes of histograms

Numerical measures of center (mean, median, mode)

Numerical measures of spread (standard deviation, IQR)

Five-number summary

Calculating the IQR when given appropriate quartiles

Interpretation of the IQR

Determine shape of data: by comparing mean to median

Comparing two samples using boxplots


Chapter 8

Standard normal distribution

Basic components of the Empirical Rule (or the 68-95-99.7 Rule)

Calculation and interpretation of standardized scores (z-scores)

Solving for a percentile from observed value

Solving for an observed score when given a percentile

Normal table on page 157 of the textbook will be provided; know how to use it.

Chapter 3

Difficulties of constructing measures in statistical experiments

Seven important pitfalls in statistical surveys

Open questions

Closed questions

Clarification of the measurement variables

Measurement of non-numerical items, e.g., emotions, attitudes, self-esteem

Types of variables (categorical vs. quantitative, discrete vs. continuous)

The statistical terms validity, reliability, bias, and variability

Chapter 4

Difference between population and sample

Sample surveys

Understand definitions of terms on page 61 of the textbook

Calculation and interpretation of a margin of error (including knowing the formula)

Sampling methods discussed in class

"Difficulties and Disasters" in sampling

Principles applied in the Gallup Poll (talked about in class)


Chapter 5

Definitions of: Explanatory variable, response variable, treatment

Randomized experiment vs. observational study

Block designs (Blocking) and Matched Pairs - when is it used - what does it accomplish

Placebos, placebo effect

Single-blinded and double-blinded experiments

Confounding variables

Hawthorne effect

Retrospective study vs. prospective study

Case-control study (Identify and recognize advantages as a type of an observational study)

Interacting variables

Ecological validity

Random sample vs. random assignment