You cannot. A calculator is programmed. It is made to calculate correctly.
if my data followed to a special distribution, how can i calculate the critical value of k-s test in this case?
No. I believe TI83+ and TI84 do use an operating system.
Yes. The TI83 has several applications that can be downloaded onto the TI83, mainly those made by Texas Instruments. Also, you can write your own software.
There are online graphing calculators. However, as of writing, there is no emulated TI83 that runs within your browser. On the other hand, if you have a Ti83, it is possible to copy its ROM to run an emulated TI83 on your desktop via one of many emulators.
The critical value is an FINISHED
No, it really depends on the college. Some colleges don't allow any calculators for their math classes. Everything that can be done on a TI83 can be done with the human brain, so some professors make tests with easier computations so that you don't have to use a TI83
Press "ALPHA", then press "."
To find the critical value in statistics, it requires a hypothesis testing. Using the critical value approach can also be helpful in this matter.
A test statistic is a value calculated from a set of observations. A critical value depends on a null hypothesis about the distribution of the variable and the degree of certainty required from the test. Given a null hypothesis it may be possible to calculate the distribution of the test statistic. Then, given an alternative hypothesis, it is may be possible to calculate the probability of the test statistic taking the observed (or more extreme) value under the null hypothesis and the alternative. Finally, you need the degree of certainty required from the test and this will determine the value such that if the test statistic is more extreme than the critical value, it is unlikely that the observations are consistent with the hypothesis so it must be rejected in favour of the alternative hypothesis. It may not always be possible to calculate the distribution function for the variable.
Some TI83's can be set up differently, so it is highly recommendable to read the user guide for the TI83 in question. The user would need to go into the VarStat option and enter all the appropriate fields to have the calculator bring in the appropriate variables and totals.
Normally you would find the critical value when given the p value and the test statistic.