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An outline for a statistics 110 class session, covering topics such as basic terminology, types of data, descriptive and inferential statistics, observational and experimental studies, and building statistical models. The session includes examples and exercises on concepts like population and sample, variables, parameters and statistics, descriptive and inferential statistics, observational and experimental studies, and model building.
What you will learn
Typology: Slides
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Outline for today:
Go over syllabus and dates for the quarter
Overview of basic terminology
Cover most of Chapter 0
Overview of coverage in this course and in Stat 111/
Some Fundamental Definitions
Types of Data (Variables)
More Fundamental Definitions
(Population) Parameter:
A number associated with a population
A number associated with a sample
Description or Decision? How Data Are Used
Definitions of Types of Studies
Two Important Issues Based on Data Collection Method
Lead Exposure and Bad Teeth
Observational study involving 24,901 children. Explanatory variable = level of lead exposure. Response variable = extent child has missing/decayed teeth. Possible confounding variables = income level, diet, time since last dental visit.
“Children exposed to lead are more likely to suffer tooth decay …” USA Today
CRUCIAL POINT
FIT the model: Predicted Value for Y
Examples: (^) Y ˆ^ Y (c = Sample mean)
Y ˆ^ m (c = Sample median)
Assessment Questions
Assessing Fit: Residuals
Residual Y Y ˆ
Criteria to Minimize Residuals
Sum of residuals: (^) ( Y Y ˆ)
Y^ ^ Y ˆ
( Y ^ Y ˆ)
Overview of Types of Models Response Explanatory Procedure Where Quantitative One quantitative
Simple linear regression
Chs 1 &
Quantitative Multiple Multiple regr. Chs 3, 4 Quantitative One categorical
One‐way ANOVA
Ch 5
Quantitative Binary Two‐sample t Stat 7 Quantitative Multiple cat. ANOVA Chs 6, 7 Categorical Categorical Chi‐square Stat 7 Categorical Quantitative Logistic regr. Stat 111 Categorical Multiple Logistic regr. Stat 111