Exam 1 Study Guide – Statistics | STAT 100, Study notes of Statistics

Material Type: Notes; Class: Statistics; Subject: Statistics; University: University of Illinois - Urbana-Champaign; Term: Spring 2008;

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Pre 2010

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Exam 1 Study Guide
STAT 100
For each of the topics below, look over the relevant problems in your lecture notes and
homework.
EXPERIMENTAL DESIGN
Chapter 1 – Controlled Experiments
Main idea: Treatment and control groups should be as alike as possible.
• Randomized, double-blind design is ideal.
• Non-randomized and historical controls may introduce systematic bias.
Chapter 2 – Observational Studies
Main idea: Treatment and control groups are likely to be different in important ways since
they chose themselves.
• Difficult to conclude causation from association.
• Adjust for confounders by dividing into subgroups.
• Simpson’s Paradox: Clear-cut case of confounding where the overall percentages are
misleading and are reversed when divided into subgroups.
From a description of a study, you should be able to:
• Identify whether the study was a controlled experiment or an observational study.
• Identify what type of controls (if any) were used, i.e., randomized, non-randomized, or
historical.
• Determine whether the study was double-blind. Was a placebo used? Did the evaluators
know who was in the treatment and who was in the control group?
• Determine what conclusions are valid.
• Identify likely confounders and how you would adjust for them.
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Exam 1 Study Guide

STAT 100

For each of the topics below, look over the relevant problems in your lecture notes and homework. EXPERIMENTAL DESIGN Chapter 1 – Controlled Experiments Main idea: Treatment and control groups should be as alike as possible.

  • Randomized, double-blind design is ideal.
  • Non-randomized and historical controls may introduce systematic bias. Chapter 2 – Observational Studies Main idea: Treatment and control groups are likely to be different in important ways since they chose themselves.
  • Difficult to conclude causation from association.
  • Adjust for confounders by dividing into subgroups.
  • Simpson’s Paradox: Clear-cut case of confounding where the overall percentages are misleading and are reversed when divided into subgroups. From a description of a study, you should be able to:
  • Identify whether the study was a controlled experiment or an observational study.
  • Identify what type of controls (if any) were used, i.e., randomized, non-randomized, or historical.
  • Determine whether the study was double-blind. Was a placebo used? Did the evaluators know who was in the treatment and who was in the control group?
  • Determine what conclusions are valid.
  • Identify likely confounders and how you would adjust for them.

DESCRIPTIVE STATISTICS

Chapter 3 – The Histogram

  • Be able to read and interpret histograms
  • Be able to draw histograms
  • Be able to tell how the data are distributed from the shape of a histogram Chapter 4 – The Average and the Standard Deviation
  • Compute average and median from a list of numbers.
  • Know that the average is sensitive to extreme values and the median is not.
  • Locate the median (50% of the area is above and 50% is below the median) and the average (the “balancing” point) on a histogram.
  • Understand how the shape of a distribution affects the relationship between the average and median: o Symmetric: average ≈ median o Long left tail: average < median o Long right tail: average > median
  • Be able to calculate the SD for a list of numbers.
  • Explain how the SD and average change when various changes are made to a distribution: o A constant is added to every number in the list o All numbers are multiplied by the same value

Chapter 5 – Normal Approximation

  • Convert values to standard units
  • Find areas under the normal curve using the table on p. 119 (Table will be provided in the exam).
  • Do the normal approximation for a histogram, and understand when it is appropriate.
  • Locate percentiles on both normal and non-normal histograms.