Weekly Cohort for Prob & Stats (CJC1 /C459)
Session 2
1. Read the material in Acrobatiq for Module 5
Complete the embedded Learn by Doing and Did I get this?
Problems
Use this Graphic Organizer to help take notes.
2. Watch the Recorded Cohort Session
Wa
Weekly Cohort for Prob & Stats (CJC1 /C459)
Session 5
1. Read the material in Acrobatiq for Module 12
Complete the embedded Learn by Doing and Did I get this?
Problems
Use this Graphic Organizer to help take notes.
2. Watch the Recorded Cohort Session
W
Candy Razo
11 November 2014
Project 2
Number of Siblings
Age of Students
Least squares regression line: y= .70334+.079956x
R squared Value= .00611
Correlation Coefficient= .07818
1.
Is there evidence of a linear correlation? Is it strong or weak? Is it ne
Baby Bayes using R
Rebecca C. Steorts
Last LATEXd Tuesday 12th January, 2016
03:18 Tuesday 12th January, 2016
c
Copyright 2016
Rebecca C. Steorts; do not distribution without authors permission
Contents
1 Motivations and Introduction to Bayesian Inference
School of Mathematics and Statistics
The exponential family:
conjugate priors
Paul Hewson
Overview: The phrase exponential family is
a bad choice. It overlaps with other exponential functions. However, we are going to meet
the exponential family. These no
Stat 5102 Lecture Slides: Deck 4
Bayesian Inference
Charles J. Geyer
School of Statistics
University of Minnesota
1
Bayesian Inference
Now for something completely different.
Everything we have done up to now is frequentist statistics.
Bayesian statistics
18.443 Exam 2 Spring 2015
Statistics for Applications
4/9/2015
1. True or False (and state why).
(a). The signicance level of a statistical test is not equal to the probability
that the null hypothesis is true.
(b). If a 99% condence interval for a distri
3. Conjugate families of distributions
Objective
One problem in the implementation of Bayesian approaches is analytical
tractability. For a likelihood function l(|x) and prior distribution p(), in
order to calculate the posterior distribution, it is neces
Chapter 2 Solutions
2.1 Suppose that we want to develop an informative prior distribution for
the probability of observing heads when we flip a coin. Suppose that
we think that the most likely probability of heads is 0.5 and that 0.75
would be extreme. Fi
MAS3301 Bayesian Statistics
M. Farrow
School of Mathematics and Statistics
Newcastle University
Semester 2, 2008-9
1
9
Conjugate Priors II: More uses of the beta distribution
9.1
9.1.1
Geometric observations
Model
Suppose that we will observe X1 , . . . ,
Stat 310 Homework 7 Key
Chapter 8, problems 14, 15, 16, 19, 39, 42, 44, 45, 57, 58. Due 11/11/99.
8.14
Consider an i.i.d. sample of random variables with density function
1
jxj
f (xj ) = exp
2
a) Find the method of moments estimate of . To do this, we ne
SOLUTION FOR HOMEWORK 3, STAT 4352
Welcome to your third homework. We finish the point estimation; your Exam 1 is next
week and it will be close to HW1-HW3.
Recall that X n := (X1 , . . . , Xn ) denotes the vector of n observations.
Try to find mistakes (
Review Final Exam Math 1342
Chapter 1
1. Determine the type of sampling used (simple random, stratified, systematic, cluster,
convenience)
a. Households in a state are grouped by zipcode. 20 random zipcodes are
chosen and all households surveyed.
b. House
My course grade in the Math Lab is determined by my responsibility of attending each session,
staying on top of the daily assignments, and completing the three algebra quizzes (15%). For the Math
Class we are graded by completion of Stats Quizzes (15%), L
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Probability Experiment Any process with uncertain results that can be repeated
Trail - A single execution or instance of a probability experiment.
outcome The result of a single trial of the experiment, that is, the value measured, observed or reported fo
Chapter 5 Probability
5.1 Probability Rules
Objectives
1. Apply the rules of probabilities
2. Compute and interpret probabilities using the empirical method
3. Compute and interpret probabilities using the classical method
4. Use simulation to obtain data
Probability Experiment Any process with uncertain results that can be repeated
Trail - A single execution or instance of a probability experiment.
outcome The result of a single trial of the experiment, that is, the value measured, observed or reported fo
Chapter 9 Estimating the Value of a Parameter
9.1 Estimating a Population Proportion
Objectives
1. Obtain a point estimate for the population proportion
2. Construct and interpret a confidence interval for the population proportion
3. Determine the sample
Chapter 9 Estimating the Value of a Parameter
9.1 Estimating a Population Proportion
Objectives
1. Obtain a point estimate for the population proportion
2. Construct and interpret a confidence interval for the population proportion
3. Determine the sample
Exam 1 Chapters 1-3
*This is only a quick review* Up to us to review past information. Lots of vocabulary
1.1 Introduction to the practice of statistics (Many will be multiple choice questions)
Know how to define statistics
Population vs sample
Paramet
Chapter 4 Describing the Relation between Two Variables
4.1 Scatter Diagrams and Correlation
Objectives
1. Draw and interpret scatter diagrams
2. Describe the properties of the linear correlation coefficient
3. Compute and interpret the linear correlation
Draw a normal distribution
Study and Review Page 486-487-488
The average per capita spending on healthcare in the United Sates is $5274. If the standard deviation is
$600 and the distribution of health care spending is approximately normal, what is the pr
1
Exercise (2):
Use the formula above to find the variance and standard deviation of this sample: 5, -1, 3, 9,
10, 15, -4.
s2 = _
s =_
ii) There are other measures of variability. From a common sense point of view, the mean
absolute deviation has a lot of
1
Exercise (1):
Find each of the measures for the F-Troop data. For convenience, the data has been sorted
from smallest to largest. There were 653 boxes sold in total.
mean = _
median = _
mode = _
1- Measures of variability.
i) Standard Deviation (and its
1
Topic 1: Descriptive Statistics
Chapter 3: Numerical descriptive measures.
So far what we've done is just presentation of data, not mathematical analysis. One of the big pictures in Statistics: Sample statistics are used to
make inferences about the pro
1
2. The number of ways to choose x objects from a total of n objects, where the order in which
the x objects is listed does matter, is calculated using the permutation formula:
Exercise:
A team has total players of 12. In how many ways can the coach sele