STAT 200

It's easy to lie with statistics, but hard to know the truth without them.
Worksheets

Chap. Triola TOPIC SOFTWARE EXTRAS & NOTES
1.2 Data

Uniform Normal Skewed Bimodal


Generate data distributions/samples
Some Triola data
Some data distros
Fisher's iris data
Exs:Uniform&Normal
2.1 2.2 3.1 3.2 3.3
Frequency distribution, histogram, and stats
freq dist, histogram, stats ***

grouped freq dist-->data

Nominal/Qualitative/Categorical data (freqs,bar graph, Pareto)

Middles    Mean
Skew    right
Standard deviation
UMGC text chap.3
Ye olde data    Playfair    Crimea Moscow
Irfanview: screenshot to image file

*/+- 2 lists, scalar

3.3 Percentiles Percentiles quartiles
Growth chart
Empirical Rule
3.3 z-scores x-->Z-score-->CDF ***
4 Probability


More words

Probability calculator(u.c.)

Conditional Probability

Probability table calculator

*Hat drawing/Subset
Classical
*Coin & die
*Card hands
*Proportions
*Birthdays
2-way inference
Venn 2 sets
*Monty Hall
*Bayes formula
Odds
*Disjoint subsets
4.4 Counting: permutations & combinations nPr & nCr calculator&generator Factorial !
5.1 Discrete distributions Discrete probability distribution
5.2 Binomial Binomial probabilities
5.3 Poisson Poisson probabilities
Uniform Uniform distribution
Exs:Uniform&Normal
Exponential Exponential probabilities
Geometric *Geometric distribution
*Geometric demo
6 Normal distributions, CDF(z) x-->Z-score-->CDF *** Histogram to Curve
*Card hands
Empirical Rule
Z table
Critical Z values
*Overlap 2 normals
6.4 CLT central limit theorem CLT demo w/population
CLT demo w/parameters
Sample means
CLT sampling distro
CLT SEM
CLT n effect
CLT ex.
*Heads counting
6.5 Assessing normality. Use sorted data and normality quantile data from freq dist, histogram, stats and paste into correlation, scatter plot, regression line
Inferential statistics:
7 Estimation, Confidence intervals. One sample.

Parameter Estimator
Statistic
Test statistic&
distribution
μ t
σ s Χ2
p z
"Bad" estimators
7.1 Proportion: 1-PropZInt and min n

Minimum sample size

*Props sim
7.2 Mean: T-Interval

*Minimum sample size

*CI sim demo
T table
*Mean: Z-Interval rare
7.3 VAR and SD: S2-Int Χ2 Χ2 table
7.4 Bootstrap resampling
8 One sample Hypothesis testing

"pass/fail" tests
Type I, II errors, Power
8.2 Hypothesis Z-Test for Proportion Critical Z values
8.3 Hypothesis T-Test for mean
8.4 Hypothesis Χ2 Test for VAR and SD
9
9.1 Two-sample Ind. pooled Proportions hypo test and CI 2-PropZTest and 2-PropZInt
9.2 Two sample Independent Means hypo test and CI 2 Sample T-Test and 2 Samp T-Int

Visualize 2 independent samples

9.2-2 skip Two sample Pooled Ind. Means hypo test and CI Pooled 2 Sample T-Test and 2 Samp T-Int
9.3 Two sample Matched-pairs / Dependent MeanDiff hypo test and CI t-Test and t-Interval

Visualize 2 dependent samples

9.4 Two sample Independent Standard Deviation hypo test 2 sample SD F-Test F table .05
10 Correlation and Regression correlation, scatter plot, regression line

Generate correlated data

r critical values table
Examples
1969 draft    data
Anscombe's quartet
Rank CVs
10.4 Multiple Linear Regression stats.blue
10.5 Non-Linear Regression stats.blue Polynomial
stats.blue Exponential
11.1 Chi-squared Χ2 goodness-of-fit Χ2 goodness-of-fit test Χ2 table
11.2 Chi-squared Χ2 test for Independence of 2 categorical variables Χ2 independence test

Visualize 2-way freq table

12.1 ANOVA

3+ samples' means x̄i: all from same Pop?

ANOVA F table .05
Project3.xlsx
Review data
Arithmetic and algebra Mathpapa.com Tips
Bonus PCA (u.c.)

List of Youtube stats videos
Stats cartoons       Quotes       History
Bunch of formulas
bonus homework

UMGC old text
UMGC text chap.6
UMGC text chap.7
UMGC text chap.9
UMGC text chap.10
UMGC text chap.11