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

https://statistics.laerd.com/premium/sts/groups-within-one.php

Post Hoc analysis

which post hoc to use? and another discussion.

good example with coco cola

http://www.sjsu.edu/faculty/gerstman/StatPrimer/anova-b.pdf

http://www.beds.ac.uk/howtoapply/departments/psychology/labs/spss/ANOVA

Data Analaysis

PCA

https://www.youtube.com/watch?v=HMOI_lkzW08

LDA

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

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Meru Triangle- Pascal Triangle https://www.youtube.com/watch?v=XMriWTvPXHI

http://mathbyvemuri.blogspot.com/2013/06/math-in-tenali-ramalingas-puzzle-on.html

http://factmyth.com/factoids/fibonacci-introduced-the-modern-numeral-system-to-europe/

This is about a problem solved by the great Tenali Ramalinga. I always enjoy Ramalinga’s stories and this is one among those tales:

An old man had three sons. During his life time he acquired 17 elephants (Exactly do not remember whether they are elephants or horses. Let us consider elephants for example). He wrote a note which specifies how these elephants shall be distributed among his three sons after his death. The note says:

“Half of the elephants shall be given to the eldest son. Two third of the remaining shall be give to the second son. Two third of the remaining shall be give to the third son.”

Finally the day came and the elephants needed to be distributed among the sons according to the note. But how can it be done? How can we divide 17 elephants such that the eldest son gets half of the share?

As usual, Ramalinga has resolved the problem. This is how Ramalinga has solved the puzzle:

To this 17 elephants, Ramalinga added one elephant taken from King’s elephant force. This made the count 18. Then he distributed 9 elephants (which is equivalent to half part) to the eldest son. Then he distributed 6 out of the remaining 9 (which is equivalent to 2/3 part) to the second son. Then he distributed 2 out of the remaining 3 (which is equivalent to 2/3 part) to the third son. This exercise left one elephant and that was given back to the king’s elephant force.

Math in this puzzle:

The fractions mentioned in the note are 1/2, 2/3 and 2/3. So to evenly distribute, we need to have at least 2*3*3=18 elephants (these are the denominators of the fractions).

http://shrinik.blogspot.com/2012/03/learning-from-tenali-ramans-crows.html

vedic mathematics magic squares

http://www.inno-teach.com/Magic%20Squares%20Part%201.html

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Vedic

Vedic Zero

Excellent proof of Vedic maths - IISC IIT Lectures

http://delhi.gov.in/wps/wcm/connect/83422a0045839a73a995bbfb7dfc679d/FUNDAMENTAL+AND+VEDIC+MATHEMATICS+.pdf?MOD=AJPERES&lmod=-

Katapayadi system (math and language)

Sanskrit numbers

Addition and subraction - simple

Sutras in vedic maths

http://www.vedic-maths.org/blog/?cat=1

Shuddha addition

Kerala- Birth Place of Calculus

T Padmanabhan- Kerala and Pi

Development of calculus in India

http://maddy06.blogspot.com/2016/05/charles-whish-at-calicut-and-madhava.html

Vedic Mathematics

http://www.vedicmaths.org/Introduction/What%20is%20VM.asp

http://www.hitxp.com/articles/veda/vedic-mathematics-crash-course-lesson-urdhva-thiryagbyam/

Vedic Math References

Vedic mathematics 2

Bhakshali-equations in olden Indian math

must read

http://www-history.mcs.st-and.ac.uk/history/Projects/Pearce/index.html

ancient palscript

http://www.maa.org/press/periodicals/convergence/mathematical-treasure-bakhshali-manuscript

Vedic mathematics-complete

very fast vedic tricks

Dr.Prasad on Vedic maths for kids - good

Vedic mathematics - BB Swami Visnu

Anicent Indian Science- good video- Mathematics

“The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its significance and profound importance is no longer appreciated ... The importance of this invention is more readily appreciated when one considers that it was beyod the two greatest men of antiquity, Archimedes and Apollonius.”
― Pierre Simon De Laplace

You tube videos on Ancient Indian Mathematics

1. Alex Bellos

2. Ancient Indian Numbers - BBC

must watch - math made simple

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