Fx5800P Student's T Table and T Distribution

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#1 therabytes

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Posted 03 November 2019 - 05:34 AM

Struggling with some statistics work and could use a little help. Wanted to know if there is any in built function or any way using which I can convert data from T tables https://www.tdistributiontable.com/ either to display it like a spreadsheet or to calculate the probabilities? Is there any 1 step ideally or at most 2 step method to achieve this task? Thank you!

#2 pan.gejt

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Posted 07 November 2019 - 03:53 PM

I see 2 options.

1. store some values in the matrices

2. Compute the probability and cumulative probability by using formulas. The accuracy is in this case limited since the numerical integration is used and strongly depends on value of DoF, n<5 provides little bit worse results compared to the table..

example: n = 10, x = 2.3

p_t(10,2.3) = 0.0377

cumulative distribution function (= alpha, A)

CDF_t (10,2.3) = 0.0221 (or 97,79%)

Unfortunately there is no way how to exactly calculate t-value since the solver in 5800p doesn't support the integration, e.g. you know n = 15 and  ta = 2.602 and you need to know corresponding alpha - in this case the alpha = 0.01.

Maybe there exists numerical method for such calculation.

Edited by pan.gejt, 07 November 2019 - 04:16 PM.

#3 pan.gejt

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Posted 29 November 2019 - 10:38 AM

Program for calculation of critical t values based on following document

http://www.namirsham.../NEW/InvPDF.pdf

The 5 values of 2 tail alpha is used.

Norm 1:ClrVar:Cls:↵
"Chose alpha: 0.2→1:0.15→2:0.1→3:0.05→4:0.025→5"?→A↵
"DoF="?→F↵
If A=1↵
Then e^(0.248069936+0.660674÷F+0.226537)÷F²→T↵
Cls:Locate 1,1,"alpha=":Locate 7,1,A-0.8◢↵
Locate 1,2,"DoF=":Locate 5,2,F◢↵
Locate 1,3,"TVAL=":Locate 6,3,T◢↵
Goto 5↵
Else Goto 1↵
IfEnd↵
Lbl 1↵
If A=2↵
Then e^(0.364320592+0.767873÷F+0.308868÷F²)→T↵
Cls:Locate 1,1,"alpha=":Locate 7,1,A-1.85◢↵
Locate 1,2,"DoF=":Locate 5,2,F◢↵
Locate 1,3,"TVAL=":Locate 6,3,T◢↵
Goto 5↵
Else Goto 2↵↵
IfEnd↵
Lbl 2↵
If A=3↵
Then e^(0.497661825+0.925738÷F+0.445297÷F²)→T↵
Cls:Locate 1,1,"alpha=":Locate 7,1,A-2.9◢↵
Locate 1,2,"DoF=":Locate 5,2,F◢↵
Locate 1,3,"TVAL=":Locate 6,3,T◢↵
Goto 5↵
Else Goto 3↵
IfEnd↵
Lbl 3↵
If A=4↵
Then e^(0.672951400+1.208789÷F+0.734348÷F²)→T↵
Cls:Locate 1,1,"alpha=":Locate 7,1,A-3.95◢↵
Locate 1,2,"DoF=":Locate 5,2,F◢↵
Locate 1,3,"TVAL=":Locate 6,3,T◢↵
Goto 5↵
Else Goto 4↵
IfEnd↵
Lbl 4↵
If A=5↵
Then e^(0.807141675+1.503440÷F+1.093993÷F²)→T↵
Cls:Locate 1,1,"alpha=":Locate 7,1,A-4.975◢↵
Locate 1,2,"DoF=":Locate 5,2,F◢↵
Locate 1,3,"TVAL=":Locate 6,3,T◢↵
Lbl 5↵
"STOP"↵

Example: alpha = 0.2
DoF= 40

t-value = 1.303
--------------------------------------
alpha = 0.025
DoF = 14

t-value = 2.509

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