# Statistics From Data

For proportions: enter 1 for yes, 0 for no.

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## Basic Statistics

Data Set 1 Data Set 2
 n =
 Min =
 Quartile 1 =
Median =
Quartile 3 =
Max =
Range =
Interquartile Range =
Outliers =
Mode =
Statistic (Mean or Proportion)=
Population Standard Deviation (n) =
Variance (n) =
Sample Standard Deviation (n - 1) =
Variance (n - 1) =
Sum of Values =
Sum of Differences Squared =
 Scale:
 Scale:
 Scale:

## Linear Regression (x = Data Set 1, y = Data Set 2)

Slope =
Y-Intercept =
Correlation r =
Coefficient of Determination r^2 =
St Dev of the Residuals (SEE) =
Standard Deviation of the Slope =
Degrees of Freedom (n - 2) =
Data Type =
 Confidence Level as a decimal =
T or Z =
Error =
Lower =
Upper =
 Null Slope =
T or Z =
One Sided p-value =
Two Sided p-value =

Customize the Scatterplot:
 x-min: x-max: y-min: y-max:

Notes on the Tests Below:

• Mean Z-Test should be run when the data represent the entire population (Census) and will use the Population Standard Deviation shown above.
• Mean T-Test should be run when the data represent a sample of the entire population (Survey) and will use the Sample Standard Deviation shown above.
• Proportion Z-Test should be run when the goal is to find a proportion/percent of a population who meet a criteria. The formula for standard deviation is specific for the test being performed.

## Confidence Intervals on 1 Variable

 Data Set 1 Data Set 2 Data and Test Type = Mean Z-Test Mean T-Test Proportion Z-Test Mean Z-Test Mean T-Test Proportion Z-Test Confidence Level as a decimal = Statistic = (sample st dev) / sqrt (n) = T or Z value = Degrees of Freedom (n - 1)= Error = Lower Limit = Upper Limit =

## Significance Tests on 1 Variable

 Data Set 1 Data Set 2 Data and Test Type = Mean Z-Test Mean T-Test Proportion Z-Test Mean Z-Test Mean T-Test Proportion Z-Test Statistic = Null Value = (sample st dev) / sqrt (n) = T or Z value = Degrees of Freedom = one sided p-value = two sided p-value =

## Difference in Statistics (Unpaired, 2 Variable)

Data and Test Type =
Statistic from Data Set 1 =
Statistic from Data Set 2 =
Expected Value of (Statistic 2 - Statistic 1) =
Standard Deviation of Expected Value of (Stat 2 - Stat 1) =
Degrees of Freedom =
 Confidence Level as a decimal =
Z or T =
Error =
Lower =
Upper =
 Null Value =
Pooled/Common Proportion =
Z or T =
One Sided p-value =
Two Sided p-value =

## Difference in Statistics (Paired: Data 3 = Data 2 - Data 1)

 Data and Test Type =
Expected Value (Mean or Proportion) of Data Set 3 =
Sample Standard Deviation of Data Set 3 =
Degrees of Freedom =
 Confidence Level as a decimal =
Standard Deviation of the Sample Exected Value=
Z or T =
Error =
Lower =
Upper =
 Null Value =
Standard Deviation of the Sample Exected Value=
Z or T =
One Sided p-value=
Two Sided p-value =

## Chi Square Test of Fit

 Data 1 = expected values Data 2 = observed values