### Math links

Uni5 Statistics-

Explain P value with words 1. Randomness 2. Repeating times  3. Mean 4. Variations 5. values.

Intro to statistics- https://www.youtube.com/watch?v=MdHtK7CWpCQ

Best Diversity analysis videohttps://www.coursera.org/lecture/microbiome/beta-diversity-and-visualizing-differences-NOo6W

http://www.loujost.com/Statistics%20and%20Physics/Diversity%20and%20Similarity/EffectiveNumberOfSpecies.htm

simple distribution

logs well explained

very simple explantion on statistical model

p value

Excellent student t test-equal and unequal variance

good overview of which to apply

simple excel calculation t test

Good on confidence interval and population mean

Good on Anova

what statisitics should we use

good for science fair projects

Hypothesis testing

Good- Hypoethesis testing.

what is P value? (goood animation)

Comprehensive statistics

probability - good one

https://www.youtube.com/watch?v=_aBKxnUtIOk

http://www.mathsisfun.com/combinatorics/combinations-permutations-calculator.html

How to choose the right statistical test?

choosing right test

https://www.youtube.com/watch?v=ITf4vHhyGpc

https://www.youtube.com/watch?v=-yQb_ZJnFXw

https://www.youtube.com/watch?v=leHOBf_-9kM

https://www.youtube.com/watch?v=0Vj2V2qRU10

simple on p value- null hypothesis

Many Good Tools for analysis

Good for student t test-maunal and if statement

Chi square test in excel

Summary: 1.The t-test is used when determining if two averages or means are the same or different. The ANOVA is preferred if comparing three or more averages or means. 2.A t-test has more odds of committing an error the more means are used which is why ANOVA is used when comparing two or more means. Read more: Difference Between T-TEST and ANOVA | Difference Between | T-TEST vs ANOVA http://www.differencebetween.net/miscellaneous/difference-between-t-test-and-anova/#ixzz43qD6jjAQ

ANOVA is based on a comparison of two different sources of variation: ANOVA is the ANOVA F-test-Fisher The average variation of observations within each group around the group mean – The average variation of the group means around the grand mean • The grand mean is the mean of all observations

The advantage of using ANOVA over multiple t-tests is that the ANOVA F-test will identify if any of the group means are significantly different from at least one of the other group means with a single test.

–F = average variability among groups average variability within groups

http://www.csun.edu/~amarenco/Fcs%20682/When%20to%20use%20what%20test.pdf

Post Hoc analysis

good example with coco cola

Data Analaysis

PCA

LDA

https://www.youtube.com/watch?v=azXCzI57Yfc