# Statistics

## Books

- An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements. by John R. Taylor, 2ed. -
**great book**

## Continuously Variable

The t-test assesses whether the means of two groups are statistically different from each other.

T-Test explanation

matlab t-test commands

nice explanations on the Two tailed t-test

## Enumeration Data

very nice example of Chi Square (Contingency Table)

Explanations of Chi Square

Contingency Table (Page 158)

soft to calculate Contingency table using Fishers test

the online calculator used to calculate the Fishers results

Chi-Square Satistics explanations

## Overlapping Distributions

Discussion on the topic

Cohens value, which seem to be proportional to overlapping

Normal Distribution Overlapping Another

# Translational Hard Stop

Simulating a wall as an elastic barrier.

[http://www.mathworks.com/access/helpdesk/help/toolbox/physmod/simscape/ref/translationalhardstop.html]

# How to Simulate a Clutch

Zero Crossing Problem is covered :

[http://www.mathworks.com/company/newsletters/digest/2008/may/friction.html]

# Motor Related Calculations

[http://www.micromo.com/n390432/n.html]

# Inertia Calculations:

Cylinder [http://hyperphysics.phy-astr.gsu.edu/HBASE/icyl.html#icyl2]

Material Weight Calculator [http://www.onlinemetals.com/calculator.cfm]

# ODE

Very nicely written guide to solving ODE [http://www.physics.utoronto.ca/~poptor/Com00/ODEGuide.pdf]

Good explanations of ODE and examples (damping !) [http://www.intmath.com/Differential-equations/8_2nd-order-DE-damping-RLC.php]

# Transducer calculations

Understanding Transducer Characteristics and Performance [http://www.technicalmarketingltd.com/VNO/RDP/downloads/WhitePaper001.pdf] (e.g. determine the maximum deviation of any point from line of best fit)