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## TI
83 Statistics Add-in Programs

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**The TI-83 and TI 84 Calculators come with a variety ofThere are three ways to get the programs added to your calculator.
useful special commands for Statistics. The instructor has assembled
additional programs which expand the functionality of the TI-83 and TI 84
calculators. These programs must be added to the individual calculators.
There are three ways to get the programs onto your calculators.** Note: These programs work with all TI-83 models and all TI-84 models except the TI 84 CE.

1. Bring your calculator to the instructor's during office hours and he will will transfer the programs to your calculator from his calculator. You may also tape a piece of paper to your calculator with your name and give it to the instructor at the end of class. He will return it to you the next day with the programs added to it.

**2. You may transfer the programs to your calculator from
another calculator that has the programs loaded. See instructions.**

**
3. You may download the programs from this web site to your computer and then download them to your calculator from your computer. See instructions. See Instructions
**

**Following is a description of each of the
programs. To download the program to your computer, click on the program
name.
**

### ACLEAN. This program will clear all lists, and matrices, and stat plots. It will turn off all other plots. It sets the caluclator to 4 decimal places.

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### ANOVA2 Analysis of Variance) The TI-83 does not have an ANOVA program for list inputs. The TI-84 Plus does have such a program. ANOVA2 provides the option to use data lists as inputs, or statistics: sample size, mean and standard deviation. The statistics are iputs in the Marix Editor. TI-83 Worksheet #31 demonstrates the use of the program.

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CRITVAL (Critical Values). This program is used to find the critical values to calculate confidence intervals. The input is the confidence level for a proportion as a decimal, and the confidence level and the degrees of freedom for a mean. The output is the critical value.

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### CHIS2DIST (Chi-square Distribution). This program finds the p-value using a Chi-square distribution. The inputs are: lower Bound (Chi-square Statistic), upper bound (2ndE99), and degrees of freedom.

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### CORRELTN (Correlation Coefficient *r*) This program finds the correlations cofficient for two sets of data entered into the list editor.

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### FDIST (F Distribution). This program finds the p-value using an F Distribution. For a right tail test, the inputs are uower Bound (F value), upper bound (2nd E99), df numerator, df denominator.

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### GOODFIT (Goodness of Fit). This program uses the Chi-Square Distribution to test the goodness of fit of a data list to a model. The inputs are the observed data list and the expected values list. The output includes the Chi-Square Statistic, the p-value. TI-83 Worksheet #29 demonstrates the use of the program.

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### NORMDIST (Normal Distribution). This program is used to find values associated with the normal distribution. If gien an interval on the x-axis, the program will calculate the area above the intervall. The inputs are the lower bound of the interval, the upper bound of the interval, the mean of the normal distribution and the standard deviation of the distribution. The output is probability expressed as a decimal.

If given an area from the left, the program will calculate the the right bouind of the x-axis interval. The inputs are the area from the left as as a decimal, the mean of the normal distribution and the standard deviation of the distribution. The output is the associated x-axis value.

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### PRCNTILE (Percentile). This program is used to find percentiles for a given data set. Data is entered into the list editor. Finds any percentile. Percentile is entered to one decimal place.

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### REGBASIC (Simple Regression). This program streamlines the use of the TI-83 operations to perform simple regression. The program inputs are the x-list and y-list. The program displays a scatter plot (optional), finds the regression equation, r and r-squared, displays the scatter plot with the regression line (optional), displays the residual plot (optional), and calculates predicted y- values (optional). TI -83 Worksheet #24 demonstrates the use of the program.

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### REGINFER (Inference for Regression). This program does inference for regression. The inputs are the x-list and y-list. The outputs are the scatter plot (optional), the residuals plotted against the x-list (optional), the residuals plotted against the predicted values (optional), a normal probability plot of the residuals (optional), the regression equation, r and r-squared, the standard error of the residuals, the standard error of the slope, the standard error of the intercept, the p-value for a slope hypothesis test, the p-value for an intercept hypothesis test, the confidence interval for the slope and intercept (optional), the predicted y value for a mean and confidence interval (optional), and the predicted y value for a single point and confidence interval (optional). TI 83 Worksheet #30 demonstrates the use of the program.

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### REGMULTI (Multiple Regression). The program calculates a regression formula for a dependent variable based on more than one independent variable. The inputs are a y-list and multiple x-lists, all entered into Matrix [A]. The program performs simple regression and inference for the y-list vs. each x-list, providing the regression formula, r, r-squared, and p-value and y-list vs. x-list scatter plot, residuals plotted against predicted. and a normal probability plot of residuals. The simple regressions are all optional. The program also calculates the multi-regression coefficients, standard error, t-statistic, and p-value for each coefficient. The program also provides plots of multiple regression residuals vs. predicted values, a normal probability plot of multiple regression residuals (optional), and predictions of y-value means and y-value single points with confidence intervals (optional). This program is not normally used in a Math 108 class. TI 83 Worksheet #32 demonstrates the use of the program.

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### SAMPLSIZ (Sample Size). This program estimates the sample size required for a particular level of confidence and margin of error for proportions and means. For proportions the input is the estimated proportion, the confidence level, and the desired margin of error. For means, the inputs are the estimated standard deviation, the confidence level, and the desired margin of error. The output is the required sample size.

### SAMPLSTAT (Sample Statistics). This program fnds the value of basic sample statistics. The input is a List. The output is mean, median, standard deviation, variance, first quartile, third quartile, and sample size.

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### STDERROR (Standard Error). This program calculates the standard error for a variety of situations: one proportion, two proportions, two proportions pooled, one mean, and two means (also includes as output the adjusted degrees of freedom).

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### TDIST (T Distribution). This program calculates the T-Distribution p- value for a one-tail and two-tail hypothesis test for means. The inputs are: the lower bound of the interval, the upper bound of the interval, the mean, the standard deviation, and the degrees of freedom. The output is the p-value expressed as a decimal.

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