(I used blue words for the point of adding or changing)

1. Introduction.

We develop AP STAT application (Zx181) as the add-in software for FX 2.0. When this software installed into FX 2.0, no new icon appears. STAT application in FX 2.0 is overwrited to AP STAT by installing software (note: icon design is kept). So after installing AP STAT, user can find AP STAT functionality in STAT icon.

CASIO explain the following point of specification for AP STAT in this document.

1. Common Feature
   
2. TEST specification
   
3. INTERVAL Specification
   
4. DISTRIBUTION specification
   
5. Additional specification
   
6. Operation procedure
   

After installing AP STAT, user can perform the original STAT feature.

** Operation Procedure **
TOP screen.gif

2. Common Features.

Calculation Execution Indicator

Whenever the calculator is busy drawing a graph or executing a long calculation, a black box flashed in the upper right corner of the display.

NOTE : It is CASIO's job to display this indicator.

AC Break

Whenever the calculator is busy drawing a graph or executing a long calculation (it spend time more than two minutes for performing), if user hit [AC] key, then a AC Break dialog box appeared in the center of the display, and stopped drawing or executing calculation.

NOTE : It is both CASIO and Clemson job to include check flow into calculation code.

G-T

Whenever the calculator has drawn a graph, if user hit [CTRL][F6] key during a display of graph, then display changed between 'graph display' and 'text display'.

NOTE : It is CASIO's job to include working flow.

Save Result functionality

To store the result of calculation in the order into selected list. It is the same order as 'results display' after performing calculation.

NOTE : It is CASIO's job to include working flow.

** Operation Procedure **
G-T.gif
Save Result.gif
How to select.gif

3. TEST Specification.

AP STAT has the following functionality under TEST menu.

1-Sample ZTest

• User can choose list data or variable data for input.
  
• User can choose a population mean value test conditions as input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data before main calculating.
  
• Perform calculation (Z-score, p-value, sample mean, sample standard deviation (only selected list into 'Data Type' setting), sample size) or drawing a graph.
  
• Perform graph analysis (Z-score, p-value).
  

** Operation Procedure **
1-Sample ZTest.gif

2-Sample ZTest

• User can choose list data or variable data for input.
  
• User can choose a population mean value test conditions as input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample and standard deviation from list data (data1 and data2) before main calculating.
  
• Perform calculation (Z-score, p-value, sample mean (data1 and data 2), sample standard deviation (data1 and data2 / only selected list into 'Data Type' setting), sample size (data1 and data2)) or drawing a graph.
  
• Perform graph analysis (Z-score, p-value).
  

** Operation Procedure **
2-Sample ZTest.gif

1-Proportional ZTest

• Variable data for input.
  
• User can choose a sample proportion test conditions as input.
  
• Perform calculation (Z-score, p-value, estimated sample proportion, sample size) or drawing a graph.
  
• Perform graph analysis (Z-score, p-value).
  

** Operation Procedure **
1-Prop ZTest.gif

2-Proportional ZTest

• Variable data for input.
  
• User can choose a sample proportion test conditions as input.
  
• Perform calculation (Z-score, p-value, estimated proportion of population (data1 and data2), estimated sample proportion, sample size (data1 and data2)) or drawing a graph.
  
• Perform graph analysis (Z-score, p-value).
  

** Operation Procedure **
2-Prop ZTest.gif

1-Sample tTest

• User can choose list data or variable data for input.
  
• User can choose a population mean value test conditions as input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data before main calculating.
  
• Perform calculation (t-value, p-value, sample mean, sample standard deviation, sample size) or drawing a graph.
  
• Perform graph analysis (t-value, p-value).
  

** Operation Procedure **
1-Sample tTest.gif

2-Sample tTest

• User can choose list data or variable data for input.
  
• User can choose a sample mean value test conditions as input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data (data1 and data2) before main calculating.
  
• Perform calculation (t-value, p-value, degrees of freedom, sample mean (data1 and data 2), sample standard deviation (data1 and data2), sample size (data1 and data2)) or drawing a graph.
  
• When selected pooled:on into 'pooled' setting before user calculates, calculator has to compute in executing and display a pooled sample standard deviation.
  
• Perform graph analysis (t-value, p-value).
  

** Operation Procedure **
2-Sample tTest.gif
2-Sample tTest.gif

Linear Regression tTest

• List data for input.
  
• User can choose a p-value test conditions as input.
  
• Perform calculation (t-value, p-value, degrees of freedom, contrast term, coefficient, standard error, correlation coefficient, coefficient of determination).
  
• Do not perform a drawing graph
  
• Hit [F6] key when display result, user can be used to copy the regression formula into GRAPH function editor.
  
• Selected Resid:List (number) into 'Resid List' setting before calculation, calculator has to compute residuals, and calculator has to store the residuals into selected list before display result.
  

** Operation Procedure **
LinReg.gif

Chi-Square Test

• Matrix stored observed data has to be selected by user before calculation.
  
• Matrix in which user wants to store data as expected data has to be selected by user before calculation.
  
• User can access to Matrix editor from chi-square test display of setting.
  
• Perform calculation (chi-square-value, p-value, degrees of freedom, expected values (only stored into selected matrix)) or drawing a graph.
  
• User can access to Matrix editor from chi-square test display of result.
  
• Perform graph analysis (chi-square-value, p-value).
  

** Operation Procedure **
Chi-Square Test.gif

2-Sample FTest

• User can choose list data or variable data for input.
  
• User can choose a population standard deviation test conditions as input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data (data1 and data2) before main calculating.
  
• Perform calculation (F-value, p-value, sample mean (from data1 and data2 / only selected list into 'Data Type' setting), sample standard deviation (from data1 and data2), sample size (from data1 and data2)) or drawing a graph.
  
• Perform graph analysis (F-value, p-value).
  

** Operation Procedure **
2-Sample FTest.gif

ANOVA

• AP STAT can perform both one-way ANOVA and two-way ANOVA calculation.
  
• User can choose the number of factors (from 'How many' setting) for input. If selected '1', then perform one-way ANOVA calculation. If selected '2', then perform two-way ANOVA calculation.
  
• User has to select list of Factor and Dependent as input. List of factor consists of categorical variables, and list of dependent consists of measurement variables.
  
• Perform calculation under one-way ANOVA (F-value, p-value, pooled sample standard deviation, factor degrees of freedom, factor sum of squares, factor mean of squares, error degrees of freedom, error sum of squares, error mean squares).
  
• Display table style as the result of one-way ANOVA.
  
• Under performing one-way ANOVA, do not perform a drawing graph.
  
• Perform calculation under two-way ANOVA (degrees of freedom (factor A, factor B, factor A * factor B, error), sum of square (factor A, factor B, factor A * factor B, error), mean square (factor A, factor B, factor A * factor B, error), F-value (factor A, factor B, factor A * factor B), p-value (factor A, factor B, factor A * factor B)), or drawing a graph ^{** 1}.
  
• Display table style as the result of two-way ANOVA.
  
• Selected Resid:List (number) into 'Resid List' setting before calculation, calculator has to compute residuals, and calculator has to store the residuals into selected list before display result. This feature can perform both one-way ANOVA and two-way ANOVA^{** 2}.
  
• Include 'Interaction' setting under two-way ANOVA setting.
  

Note : Now, CASIO is confirming the following question to Clemson.

A : the result of two-way ANOVA under setting 'Interaction : Yes'

B : the result of two-way ANOVA under setting 'Interaction : No'

Is the calculator has the difference of the result between A and B???

CASIO cannot fix the user interface specification of two-way ANOVA completely until CASIO can get confirmation or collect display of result from Clemson.

Both CASIO and Clemson had agreed to delete 'Iteration' setting.

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**1 NOTE : If clemson agrees our idea that CASIO suggested to Clemson by the e-mail 'some fundtionality for AP STAT', then CASIO can realize this functionality.
Clemson offers the(x,y) data to CASIO.
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**2 NOTE : If clemson agrees our idea that CASIO suggested to Clemson by the e-mail 'some fundtionality for AP STAT', then CASIO can realize this functionality.
-----------------------

** Operation Procedure **
One-way ANOVA.gif
Two-way ANOVA.gif

4. INTERVAL Specification.

AP STAT has the following functionality under INTR menu.

1-Sample ZInterval

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data before main calculating.
  
• Perform calculation (interval lower limit (left edge), interval upper limit (right edge), sample mean, sample standard deviation (only selected list into 'Data Type' setting), sample size).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
I-Sample ZInterval.gif

2-Sample ZInterval

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data (data1 and data2) before main calculating.
  
• Perform calculation (interval lower limit (left edge), interval upper limit (right edge), sample mean (data1 and data2), sample standard deviation (data1 and data2 / only selected list into 'Data Type' setting), sample size (data1 and data2)).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
2-Sample ZInterval.gif

1-Proportional ZInterval

• Variable data for input.
  
• Perform calculation (interval lower limit (left edge), interval upper limit (right edge), expected p-value, sample size).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
1-Prop ZInterval.gif

2-Proportional ZInterval

• Variable data for input.
  
• Perform calculation (interval lower limit (left edge), interval upper limit (right edge), expected p-value (data1 and data2), sample size (data1 and data2)).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
2-Prop ZInterval.gif

1-Sample tInterval

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data before main calculating.
  
• Perform calculation (interval lower limit (left edge), interval upper limit (right edge), sample mean, sample standard deviation, sample size).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
1-Sample tInterval.gif

2-Sample tInterval

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, the calculator has to compute sample mean and sample size and standard deviation from list data (data1 and data2) before main calculating.
  
• Perform calculation (interval lower limit (left edge), interval upper limit (right edge), degrees of freedom, sample mean (data1 and data2), sample standard deviation (data1 and data2), sample size (data1 and data2)).
  
• When selected pooled:on into 'pooled' setting before user calculates, calculator has to compute in executing and display a pooled sample standard deviation.
  
• Do not perform a drawing graph.
  

** Operation Procedure **
2-Sample tInterval.gif
2-Sample tInterval.gif

5. DISTRIBUTION Specification.

AP STAT has the following functionality under DIST menu.

Normal Probability Density

• Variable data for input.
  
• Perform calculation (Normal Probability Density) or drawing a graph.
  
• Perform graph analysis (Normal Probability Density).
  

** Operation Procedure **
N P.D.gif

Normal Distribution Probability

• Variable data for input.
  
• Perform calculation (Normal Distribution Probability, z:Low value, z:Up value).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
N C.D.gif

Inverse Cumulative Normal Distribution

• Variable data for input.
  
• User can choose the tail condition (left, right, central).
  
• Perform calculation (Inverse Cumulative Normal Distribution (lower boundary of integration interval (Tail:left), upper boundary of integration interval (Tail:right), both boundary of integration interval (Tail:Central)).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
InvNorm.gif

Student-t Probability Density

• Variable data for input.
  
• Perform calculation (Student-t Probability Density) or drawing a graph.
  
• Perform graph analysis (Student-t Probability Density).
  

** Operation Procedure **
t P.D.gif

Student-t Distribution Probability

• Variable data for input.
  
• Perform calculation (Student-t Distribution Probability, t:Low value, t:Up value).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
t C.D.gif

Chi-Square Probability Density

• Variable data for input.
  
• Perform calculation (Chi-Square Probability Density) or drawing a graph.
  
• Perform graph analysis (Chi-Square Probability Density).
  

** Operation Procedure **
C P.D.gif

Chi-Square Distribution Probability

• Variable data for input.
  
• Perform calculation (Chi-Square Distribution Probability).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
C C.D.gif

F Probability Density

• Variable data for input.
  
• Perform calculation (F Probability Density) or drawing a graph.
  
• Perform graph analysis (F Probability Density).
  

** Operation Procedure **
F P.D.gif

F Distribution Probability

• Variable data for input.
  
• Perform calculation (F Distribution Probability).
  
• Do not perform a drawing graph.
  

** Operation Procedure **
F C.D.gif

Binomial Probability

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, user can use list data that contents user wants to use as sample data.
  
• Perform calculation (Binomial Probability). If selected list, then calculator display the answer that data format is LIST. If selected variable, then calculator display the answer that data format is ANS.
  
• Do not perform a drawing graph.
  

** Operation Procedure **
B P.D.gif

Binomial Cumulative Density

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, user can use list data that contents user wants to use as sample data.
  
• Perform calculation (Binomial Cumulative Density). If selected list, then calculator display the answer that data format is LIST. If selected variable, then calculator display the answer that data format is ANS.
  
• Do not perform a drawing graph.
  

** Operation Procedure **
B C.D.gif

Poisson Probability

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, user can use list data that contents user wants to use as sample data.
  
• Perform calculation (Poisson Probability). If selected list, then calculator display the answer that data format is LIST. If selected variable, then calculator display the answer that data format is ANS.
  
• Do not perform a drawing graph.
  

** Operation Procedure **
P P.D.gif

Poisson Cumulative density

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, user can use list data that contents user wants to use as sample data.
  
• Perform calculation (Poisson Cumulative density). If selected list, then calculator display the answer that data format is LIST. If selected variable, then calculator display the answer that data format is ANS.
  
• Do not perform a drawing graph.
  

** Operation Procedure **
P C.D.gif

Geometric Probability

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, user can use list data that contents user wants to use as sample data.
  
• Perform calculation (Geometric Probability). If selected list, then calculator display the answer that data format is LIST. If selected variable, then calculator display the answer that data format is ANS.
  
• Do not perform a drawing graph.
  

** Operation Procedure **
G P.D.gif

Geometric Cumulative Density

• User can choose list data or variable data for input.
  
• When selected list into 'Data Type' setting, user can use list data that contents user wants to use as sample data.
  
• Perform calculation (Geometric Cumulative Density). If selected list, then calculator display the answer that data format is LIST. If selected variable, then calculator display the answer that data format is ANS.
  
• Do not perform a drawing graph.

** Operation Procedure **
G C.D.gif

6. Additional specification

In AP STAT, we have a plan that the calculator computes the mean square error (MSE) after (or the same time) EVERY regression calculation.

NOTE : This is Clemsonﾅfs job (CASIO and Clemson had agreed).

In AP STAT, we have a plan that the calculator computes the coefficient of determination (r^2) after (or the same time) the following regression calculation.

So we have to develop (b), (c), (d) functions for computing r^2.

NOTE : This is Clemson's job (CASIO and Clemson had agreed).

** Operation Procedure **
MSE, r^2.gif
estimated value.gif