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Identify and distinguish between a parameter and a statistic |
Describe multiple sampling methods |
Identify if a causal statement can be made given a data collection method |
Explain how to test a hypothsis using randomization |
Assess a research question using a hypothesis test |
Use the Normal distribution to calculate a probability |
Describe the concept of sampling variability |
Calculate the mean and sd of the sampling distribution based on population parameters |
Explain the Central Limit Theorem |
Construct and Interpret a confidence interval in context of the problem |
Use a confidence interval to make an inferential hypothesis statement |
Foundations for Statistical Inference
Study Design, Inference using randomization and the Normal Model
Learning Path
Where weโve been
- Learning how to explore and visualize our data.
- Visually consider patterns, identify potential relationships
Where weโre at
- Think about how data come to be. That is, if the data are to be used to make broad and complete conclusions, then it is important to understand who or what the data represent.
- Knowing how the observational units were selected will allow for generalizations back to the population from which the data were selected.
- By understanding the structure of the study, causal relationships can be separated from those relationships which are only associated.
- Revisiting null value hypothesis testing (NVHT) from a randomization perspective
- Revisiting the Normal distribution model, and getting a feel for how probability (and thus p-values) are calculated.
Objectives
Outline & connected parts for the next 2 weeks
MStudy design- Jigsaw learning directly in collab notes in class
- Finish Part 1 of HW06 before Monday
WStatistical inference using randomization- Case study (lec06a) activity
MStatistical inference using mathematical models (lec06b)- Sampling Distributions, LLN, CLT (in class activity)
- The Normal model (Calculating probabilities)
WFinish lec06b- Interval estimates
- Hypothesis testing
Learning Materials
Slides (Will open in full screen. Right click to open in a new tab)
๐ Reading
๐ Active Learning
We will be using the Jigsaw technique, which is a method of learning by teaching. You have been assigned (possibly with a partner) to read and summarize one section in the textbook.
| Items |
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In class printed activity. |