When n₁ and n₂ are both at most 20 and $α = 0.05$ , the runs test is very easy since the test statistic is simply G and the critical values come directly from the table. But when n₁ or n₂ is greater than 20, or when $α \neq 0.05$ , then the calculations required to convert G into the z test statistic are quite tedious. Here is the code for a program that will do all that number-crunching for you. More details are given below it. Begin by pressing the PRGM key, then NEW. Name it RUNSTEST.

PROGRAM: RUNSTEST

: Input "N1 = ", A

: Input "N2 = ", B

: Input "G = ", G

: (2*A*B)/(A+B)+1 $⟶$ M

: $\sqrt{}$ ((2*A*B)*(2*A*B-A-B)/((A+B)²*(A+B-1))) $⟶$ S

: (G-M)/S $⟶$ Z

: Disp "MEAN: ", M

: Disp "SD: ", S

: Disp "TS: Z = ", Z

: Stop

If you make a mistake at any point, just go back to PRGM, EDIT, and keep going where you left off.

Input and Disp are found by pressing PRGM, and selecting I/0

The equal sign (=) is found by pressing the 2ND key and then the MATH key.

The parentheses, radical sign, comma, addition, subtraction, multiplication, and division signs are all just the "standard" keys on the keyboard (for example, the press the 2ND key followed by the "x²" key to get the radical sign, $\sqrt{}$ ).

The arrow ( $⟶$ ) is the the STO key.

All letters, spaces, quotation marks, and colons are found by using the ALPHA key, and then finding what you need printed in green (usually) above other keys on the calculator. For example, press the ALPHA key and then the 0 key to get a space, ALPHA and then the + key to get quotation marks, or ALPHA and then the decimal point key to get a colon.

Stop is found by pressing PRGM, and selecting CTL

Press ENTER after the last line of code (: Stop), leave the last line blank, and then 2ND, MODE (for QUIT).

To run the program:

Press PRGM, EXEC, select RUNSTEST and press ENTER.

Press ENTER again, and it will ask you for the value of n₁. Enter this value, and press the ENTER key.

Repeat for the values of n₂ and G.

After you enter the value of G and press the ENTER key, the calculator will display the mean ( $μ_{G}$ ) and standard deviation ( $σ_{G}$ ) of G, and the z test statistic.