Stat 343
Probability and Statistics
Fall 2021


[RStudio@Calvin] [From Class] [Calendar] [Test Info] [WebWork] [Homework]

Mon Tue Wed Thu Fri
8/30
Introduction
Lady Tasting Tea


rflip(); do(); gf_histogram(); tally()


8/31
Randomness and Probability
FASt 2.1
FASt App. B




9/1





9/2
Calculating Probability
Random Variables

FASt 2.2



9/3
Multiplication Principle
Division Principle
R Markdown

FASt 2.2
choose(n,k)


9/6



Labor Day

9/7
Conditional Probability
FASt 2.2



9/8





9/9
Conditional Probability
Binomial Distributions

FASt 2.2, 2.3



9/10
Binomial Distributions
Negative Binomial Distributions

FASt 2.3
choose(); dbinom(); pbinom(); dnbinom(); pnbinom(); gf_dist()


9/13
Bayes Probability Calculations
FASt 2.3



9/14
The Binomial Test
FASt 2.4
pbinom(); qbinom()


9/15





9/16
Binomial Tests
Expected Value


binom.test();


9/17
More Expected Value
Transformations of RVs

FASt 2.5



9/20
Variance
FASt 2.5



9/21
Joint Distributions
FASt 2.6



9/22





9/23
E(X + Y)
Var(X + Y)
Covariance

FASt 2.6



9/24
Power
FASt 2.4
Visualizing Power




9/27
Poisson Distributions
FASt 2.7
dpois(); ppois(); qpois(); rpois()


9/28
Test 1




9/29





9/30
Hypergeometric Distributions




10/1
Fisher’s Test

rbind(); c(); fisher.test();


10/4
Poisson Examples
Continuous Distributions

FASt 3.1



10/5
CDF method
Exponential Distributions

FASt 3.1
dexp(); pexp(); qexp(); rexp()


10/6





10/7
Expected Value & Variance
FASt 3.3



10/8
moments
generating functions

FASt 3.3



10/11



Fall Break

10/12



Fall Break

10/13





10/14
mgfs




10/15
mgfs
Standard Normal Distribution

FASt 3.4



10/18
Normal Distributions
FASt 3.4
pnorm(); qnorm(); dnorm(); rnorm()


10/19
Gamma, Beta
FASt 3.8



10/20





10/21
Joint Distributions
FASt 3.8



10/22
mgf for Sums
FASt 3.8



10/25
Estimands, Estimates, Estimators
Method of Moments

FASt 4.1-2



10/26
Sampling Distributions
FASt 4.3
do()


10/27





10/28
Chebyshev’s Inequality
QQ plots

FASt 3.6, 4.3
gf_qq(); ppoints()


10/29
Review




11/1
Test 2




11/2



Advising
No Class


11/3



Advising
No Class


11/4
Central Limit Theorem




11/5
Binomial ≈ Normal
Z-test for a proportion


prop.test()


11/8
Tests for means
Confidence Intervals

FASt 4.5



11/9
Duality of tests and intervals
FASt 4.5



11/10





11/11
Unbiased Variance Estimate
Linear Algebra and \(S^2\)

FASt 4.6



11/12
Distribution of \(S^2\)
FASt 4.6



11/15
Chi-Squared, T, and F
FASt 4.6-7



11/16
t tests and intervals




11/17





11/18
Robustness of t-procedures
FASt 4.7



11/19
CI’s for proportions
Paired Tests

FASt 4.8-4.9



11/22
Emprical P-values
Creating Simulations


do(); function(); expand.grid()


11/23





11/24



Thanksgiving Recess

11/25



Thanksgiving Recess

11/26



Thanksgiving Recess

11/29





11/30





12/1





12/2
Test 3




12/3





12/6





12/7





12/8



Last Day of Classes

12/9



Reading Recess

12/10
Final Exam @1:30pm