# Estimation Principles

• ### Statistical Inference for Binomial Parameters

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following:  Wald test, score test, likelihood-ratio test, large sample confidence intervals, and the F distribution.

• ### Categorical Data Analysis & Generalized Linear Models

Includes detailed PowerPoints for 20 lectures for topics including generalized linear models, logistic regression, and random effects models.

• ### Penn State STAT 800: Introduction to Applied Statistics

This is a graduate level introduction to statistics including topics such as probabilty/sampling distributions, confidence intervals, hypothesis testing, ANOVA, and regression.  Perfect for students and teachers wanting to learn/acquire materials for this topic.

• ### Penn State STAT 509: Design and Analysis of Clinical Trials

This is a graduate level survey course that stresses the concepts of statistical design and analysis in biomedical research, with special emphasis on clinical trials. Perfect for students and teachers wanting to learn/acquire materials for this topic.

• ### Penn State STAT 506: Sampling Theory and Methods

The aim of this course is to cover sampling design and analysis methods that would be useful for research and management in many field. A well designed sampling procedure ensures that we can summarize and analyze data with a minimum of assumptions and complications. Perfect for both students and teachers wanting to learn/acquire materials for this topic.

• ### Song: Target Practice

A song for use in helping students identify examples of biased (like the range) and unbiased (like the mean) estimators.  Lyrics © 2015 by Larry Lesser, music by Dominic Dousa. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

• ### Song: Super Bowl Poll

A song for use in helping students apply margin of error in the context of a poll question, including that variability decreases with the square root of the sample size.  Lyrics & Music © 2015 Lawrence M. Lesser. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

• ### Song: Height of Confidence

A song for use in helping students to reason about the factors that affect the width of a confidence interval (sample size, confidence level, and population standard deviation).  Lyrics by Larry Lesser and music by Dominic Sousa in 2015, both from The University of Texas at El Paso.  This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

• ### Song: What P to Use

A song that can be used in discussing the standard deviation of p-hat and how to estimate it in making confidence intervals. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 1972 hit “I Can See Clearly Now,” by Johnny Nash. Also, an accompanying video may be found at https://www.youtube.com/watch?v=1a2e2O0o0lg

• ### Song: Confidence Level

A song that may be used in discussing the meaning and interpretation of the confidence level for a confidence interval. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the Beatles 1965 hit song Can’t Buy Me Love, written by Paul McCartney. Also, an accompanying video may be found at