26th July 2012
S100 Section 5 Solutions
Example 1: Enrollment bias 55% of Harvard Summer School students are female. If 49 of the 99 students in Stat S100 are women (^ = 0.494). Is there evidence that there is a bias in the p students who enroll in Stat S
Statistics S-100 - Summer 2012
Homework 2 Solutions 1. Predicting Public Transit Use Answers to this problem will vary, but reasonable arguments and justifications are required. a)
Public transit vs. minority
Source | SS df MS -+-Model | 497.698361 1 497.
Statistics S-100
Homework #3
Due: Sunday, July 15th
Homework policies: You should give a brief and concise explanation for each question. Just writing
down an answer (e.g., SD = 3) with no explanation is not sufficient.
Homework is due to your TA by the s
Statistics S-100- Summer 2012
Homework 3 Solutions
July 14, 2012
1 IPS 4.39
(a) Since the movement of the price in each year is independent, we know:
P (price goes up for three years)
= P (up 1st year and up 2nd year and up 3rd year)
= P (up 1st year) P (
Unit 10: More Regression
1
Unit 10 Outline
More Multiple Regression Topics
Binary Predictors to compare 3 or more group means
Contrast Testing
Multiple comparisons (& the Bonferroni correction)
Transformation of Variables
2
Example: Inference for 3+ Mean
Unit 9: Inference for Regression
Chapters 10 & 11 in IPS
1
Lecture Outline
Inference for Simple Linear Regression
Inference for the slope and general association
Inference for predictions at a particular x*
Multiple Regression
General concepts
Inferen
Unit 8: Inference for Proportions
Chapters 8 & 9 in IPS
1
Lecture Outline
Inference for a Proportion (one sample)
Inference for Two Proportions (two samples)
Contingency Tables and the 2 test
2
Inference for Proportions IPS, Chapter 8
Inference for po
Unit 7: Inference for Means
Chapter 7 in IPS
1
Lecture Outline
The t-distribution
One-Sample Inference for a Mean ()
Two-Sample Inference for Means (1-2)
Matched Pairs Inference (Diff = 1-2)
2
Remainder of the Course: Inference
The rest of the course
Unit 6b: Midterm Review
Chapters 1-5 in IPS
Midterm Exam Logistics
Midterm starts at approximately 6:30 and runs for 90 minutes. It
is being held in Science Center Lecture Hall C.
Its open-book & open-notes. No laptops or cell phones,
Remember to bring
Unit 6: Introduction to Inference
Chapter 6 in IPS
Unit 6 Outline: Introduction to Inference
Confidence Intervals Hypothesis Tests
Power and Sample Size
2
Confidence Intervals - General Idea
We want to make a statement (inference) about a population par
Unit 5: Sampling Distributions
Chapter 5 in IPS
Unit 5 Outline: Sampling Distributions
The Binomial Probability Distribution Normal Approximation to the Binomial p ^
X and its sampling distribution n
Law of Large Numbers and the Central Limit Theorem Sa
Unit 4: Probability
Chapter 4 in IPS
1
Unit 4 Outline: Probability
Simple Examples of Sampling and Their Distributions
Definitions and Concepts in Probability
Axioms/Rules of Probability
Independence
Conditional Probability
Definition
Bayes Theorem
Unit 3
Collecting Data
IPS 2.6, 3.1 - 3.3
1
Unit 3 Outline: Collecting Data
Association vs. Causation
Hierarchy of data sources
Design of experiments
Principles of experimental design
Control, Randomization, Replication
Blocking
Placebos
Sample sur
Unit 2: Relationships in Data
Chapter 2 in IPS
1
Unit 2 Outline
Two Quantitative Variables
Scatterplots
Correlation
Regression
r2
Residuals
Cautions
Transformations
One Quantitative & One Categorical Variable
Side-by-side boxplots
Two Categoric
Unit 1: Univariate Data
Chapter 1 in IPS
Data and their distributions Changing units of measurement (linear transformations) Density curves and the Normal distribution
1
Methods for Describing Data IPS Sections 1.1 1.3
Data and their distributions
Grap
Welcome to Stat S-100 Introduction to Quantitative Methods
Kevin Rader Preceptor in Statistics Statistics Department, Harvard University [email protected]
If you want to inspire confidence, give plenty of statistics. It does not matter that they shou
Using Stata for Two Sample Tests
All of the two sample problems we have discussed so far can be solved in Stata via either (a) statistical calculator functions, where you provide Stata with the necessary summary statistics for means, standard deviations,
19 June 2012
Page 1 of 10
Getting Started with Stata
Stat S100 Summer 2012
The purpose of this tutorial is to learn how to download, install, and use Stata for data manipulation, visualization, and simple analysis.
1. Downloading and Installing onto your
STATISTICS S-100 SUMMER 2012
MIDTERM EXAMINATION
PAGE 1 OF 10
Statistics S-100 Summer 2012 Midterm Examination 17 July 2012 Name: _ Section TA/day and time: _ This is an open book, open notes exam. You may refer to your problems sets, any self-written not
STATISTICS S-100 SUMMER 2011
MIDTERM EXAMINATION
PAGE 1 OF 12
Statistics S-100 Summer 2011
Midterm Examination
Tuesday, 19 July 2011
Name: _
Section TA/day and time: _
This is an open book, open notes exam. You may refer to your problems sets, any self-wr
STATISTICS S-100 SUMMER 2010
MIDTERM EXAMINATION
PAGE 1 OF 12
Statistics S-100 Summer 2010
Midterm Examination
Monday, 12 July 2010
Name: _
Section TA/day and time: _
This is an open book, open notes exam. You may refer to your problems sets, any self-wri
STATISTICS S-100 SUMMER 2009
MIDTERM EXAMINATION
PAGE 1 OF 9
Me fStatistics S-100 Summer 2009 Midterm Examination Monday, 13 July 2009 Name: _ Section TA/day and time: _ This is an open book, open notes exam. You may refer to your problems sets, any self-
STATISTICS S-100 SUMMER 2011
FINAL EXAMINATION
PAGE 1 OF 17
Statistics S-100 Summer 2011 Final Examination Tuesday, 9 August 2011 Name: _ Section TA/day and time: _ This is an open book, open notes exam. You may refer to your problems sets, any self-writt
STATISTICS S-100 SUMMER 2010
FINAL EXAMINATION
PAGE 1 OF 17
Statistics S-100 Summer 2010
Final Examination
Monday, 2 August 2010
Name: _
Section TA/day and time: _
This is an open book, open notes exam. You may refer to your problems sets, any self-writte
STATISTICS S-100 SUMMER 2009
FINAL EXAMINATION
PAGE 1 OF 14
Statistics S-100 Summer 2009 Final Examination Monday, 3 August 2009 Name: _ Section TA/day and time: _ This is an open book, open notes exam. You may refer to your problems sets, any self-writte
Statistics S-100 Summer 2012
Homework #4 Solutions
1. Understanding Hypothesis Tests
a) Because the alternative hypothesis states that the sample mean is larger than the null
value, the test is one-sided. Therefore the p-value is P(z > -1.73) = 1 P(z < -1
STATISTICS S-100 SUMMER 2012
MIDTERM EXAMINATION SOLUTIONS
PAGE 1 OF 5
Statistics S-100 Summer 2012
Midterm Examination Solutions
17 July 2012
1. (16 points total) Below is the histogram for the number of medals won for the n = 203 countries
that particip
STATISTICS S-100 SUMMER 2011
MIDTERM EXAMINATION SOLUTIONS
PAGE 1 OF 7
Statistics S-100 Summer 2011
Midterm Examination Solutions
19 July 2011
1. (20 points total) The following questions require a short answer with brief explanation (one or
two sentences
STATISTICS S-100 SUMMER 2010
MIDTERM EXAMINATION SOLUTIONS
PAGE 1 OF 7
Statistics S-100 Summer 2010 Midterm Examination Solutions Monday, 12 July 2010
1. (17 points) Below is the histogram and summary statistics from Stata for the number of goals scored i
STATISTICS S-100 SUMMER 2009
MIDTERM EXAMINATION SOLUTIONS
PAGE 1 OF 6
Statistics S-100 Summer 2009 Midterm Examination Solutions Monday, 13 July 2009
1. (15 points) The distribution of heart rates for adults in the US is normally distributed with mean of