STATS TOOLBOX
FILE INFORMATION
FILENAME(S): STATS TOOLBOX
FILE TYPE(S): PRG
FILE SIZE: 25.3K
FIRST SEEN: 2025-11-30 18:12:04
APPEARS ON: 1 disk(s)
FILE HASH
04991292112fe40142feda88aee77cfb30933cf2440c484de3e6768c7e3b774a
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| LOADSTAR 62 S 1 | STATS TOOLBOX | PRG | Sailor, Ganheden | 4 | 9 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
> DETECTED: COMMODORE BASIC PROGRAM (LOAD ADDRESS $0801)
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00002B30: 39 38 2C 32 33 30 00 3F 33 BA 02 8D 31 38 30 00 |98,230.?3...180.|
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00002B50: 54 20 54 48 45 20 45 58 50 45 43 54 45 44 20 56 |T THE EXPECTED V|
00002B60: 41 4C 55 45 20 46 4F 52 22 AA C4 28 41 28 31 29 |ALUE FOR"..(A(1)|
00002B70: 29 3A 8D 31 31 32 00 A1 33 BE 02 41 24 B2 22 46 |):.112..3..A$."F|
00002B80: 4F 55 4E 44 20 49 4E 20 52 4F 57 20 31 20 41 54 |OUND IN ROW 1 AT|
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00002BC0: 20 26 20 C3 4F 4C 20 54 4F 54 41 4C 20 3D 22 AA | & .OL TOTAL =".|
00002BD0: C4 28 54 28 33 29 29 00 EB 33 C2 02 9E 20 53 41 |.(T(3))..3... SA|
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00002C00: 34 C6 02 9E 20 53 41 2C 30 2C 31 36 3A 8D 31 31 |4... SA,0,16:.11|
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00002C50: 41 24 B2 C4 28 54 28 31 29 AC 54 28 33 29 29 AA |A$..(T(1).T(3)).|
00002C60: 22 20 44 49 56 49 44 45 44 20 42 59 22 AA C4 28 |" DIVIDED BY"..(|
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00002C90: 34 CE 02 9E 20 53 41 2C 30 2C 31 39 3A 8D 31 31 |4... SA,0,19:.11|
00002CA0: 32 00 BB 34 D0 02 41 24 B2 C4 28 A5 20 44 31 28 |2..4..A$..(. D1(|
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00002CC0: 58 32 B2 30 00 D2 34 D4 02 81 20 58 B2 31 20 A4 |X2.0..4... X.1 .|
00002CD0: 20 34 00 E5 34 D6 02 44 28 58 29 B2 41 28 58 29 | 4..4..D(X).A(X)|
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00002D20: 20 58 00 38 35 E0 02 8D 31 35 33 36 3A 91 43 48 | X.85...1536:.CH|
00002D30: 89 37 33 38 2C 32 33 30 00 41 35 E2 02 8D 31 38 |.738,230.A5...18|
00002D40: 30 00 75 35 E4 02 41 24 B2 22 CC 45 54 27 53 20 |0.u5..A$.".ET'S |
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00002D80: 20 53 41 2C 32 2C 32 00 AD 35 E8 02 99 22 C1 28 | SA,2,2..5...".(|
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00002DB0: EA 02 99 22 A3 A3 A3 A3 A3 A3 A3 A3 20 20 20 A3 |..."........ .|
00002DC0: A3 A3 A3 A3 A3 A3 A3 A3 A3 22 3A 9E 20 53 41 2C |.........":. SA,|
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00002DE0: 29 29 3A 45 24 B2 C4 28 A5 20 44 31 28 45 28 31 |)):E$..(. D1(E(1|
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00002E40: B2 C4 28 41 28 33 29 29 3A 45 24 B2 C4 28 A5 20 |..(A(3)):E$..(. |
00002E50: 44 31 28 45 28 33 29 29 29 3A 8D 31 34 35 38 00 |D1(E(3))):.1458.|
00002E60: 6C 36 F6 02 9E 20 53 41 2C 30 2C 37 00 92 36 F8 |l6... SA,0,7..6.|
00002E70: 02 41 24 B2 C4 28 41 28 34 29 29 3A 45 24 B2 C4 |.A$..(A(4)):E$..|
00002E80: 28 A5 20 44 31 28 45 28 34 29 29 29 3A 8D 31 34 |(. D1(E(4))):.14|
00002E90: 35 38 00 A8 36 FA 02 8D 31 35 33 36 3A 91 43 48 |58..6...1536:.CH|
00002EA0: 89 37 36 34 2C 32 33 30 00 B1 36 FC 02 8D 31 38 |.764,230..6...18|
00002EB0: 30 00 E4 36 FE 02 41 24 B2 22 CE 4F 57 2C 20 41 |0..6..A$.".OW, A|
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00002F30: B2 22 D4 48 45 20 C3 48 49 20 53 51 55 41 52 45 |.".HE .HI SQUARE|
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00002F60: 79 37 06 03 41 24 B2 C4 28 A5 20 44 34 28 58 32 |y7..A$..(. D4(X2|
00002F70: 29 29 3A 8D 31 31 32 3A 99 00 8D 37 08 03 8B 20 |)):.112:...7... |
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00002FA0: 20 58 32 B3 36 2E 36 33 35 20 A7 37 39 32 00 CF | X2.6.635 .792..|
00002FB0: 37 0C 03 8B 20 58 32 B2 B1 36 2E 36 33 35 20 AF |7... X2..6.635 .|
00002FC0: 20 58 32 B3 31 30 2E 38 32 37 20 A7 38 30 30 00 | X2.10.827 .800.|
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00002FE0: A7 38 30 38 00 0F 38 10 03 41 24 B2 22 D4 48 49 |.808..8..A$.".HI|
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00003200: 32 00 1E 3A 2E 03 50 24 B2 22 3C 2E 30 30 31 20 |2..:..P$."<.001 |
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00003450: 52 59 20 20 20 CD 2D CD 45 4E 55 20 20 92 22 00 |RY .-.ENU .".|
00003460: 80 3C 50 03 46 4C B2 31 3A 8D 31 35 33 36 3A 91 |.<P.FL.1:.1536:.|
00003470: 20 43 48 20 89 38 35 30 2C 32 33 30 2C 39 34 32 | CH .850,230,942|
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000034A0: 20 49 53 20 41 20 53 54 4F 52 59 20 41 42 4F 55 | IS A STORY ABOU|
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000034D0: 48 4F 20 44 52 4F 57 4E 45 44 20 49 4E 20 41 20 |HO DROWNED IN A |
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00003500: 24 B2 22 44 45 50 54 48 20 4F 46 20 33 20 46 45 |$."DEPTH OF 3 FE|
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00003540: 8D 31 31 32 00 66 3D 5C 03 41 24 B2 22 53 54 41 |.112.f=\.A$."STA|
00003550: 4E 44 41 52 44 20 44 45 56 49 41 54 49 4F 4E 2E |NDARD DEVIATION.|
00003560: 22 3A 8D 31 31 32 00 94 3D 5E 03 41 24 B2 22 D4 |":.112..=^.A$.".|
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00003590: 8D 31 31 32 00 C7 3D 60 03 41 24 B2 22 54 48 41 |.112..=`.A$."THA|
000035A0: 54 20 54 48 45 20 44 45 50 54 48 20 41 54 20 41 |T THE DEPTH AT A|
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000035F0: 45 45 54 2E 22 3A 8D 31 31 32 00 2E 3E 64 03 41 |EET.":.112..>d.A|
00003600: 24 B2 22 D4 48 45 20 53 54 41 4E 44 41 52 44 20 |$.".HE STANDARD |
00003610: 44 45 56 49 41 54 49 4F 4E 20 47 49 56 45 53 20 |DEVIATION GIVES |
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00003700: 45 20 56 41 4C 55 45 20 4F 46 20 54 48 45 20 41 |E VALUE OF THE A|
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00003730: 22 49 53 20 4C 49 54 54 4C 45 20 46 4C 55 43 54 |"IS LITTLE FLUCT|
00003740: 55 41 54 49 4F 4E 20 2D 20 4D 4F 53 54 20 4F 46 |UATION - MOST OF|
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00003790: 24 B2 22 52 49 47 48 54 20 41 52 4F 55 4E 44 20 |$."RIGHT AROUND |
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000037C0: 78 03 41 24 B2 22 54 4F 20 54 48 52 45 45 20 46 |x.A$."TO THREE F|
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00003800: 4E 20 54 48 41 54 20 41 53 22 3A 8D 31 31 32 00 |N THAT AS":.112.|
00003810: 41 40 7C 03 41 24 B2 22 4D 55 43 48 20 41 53 20 |A@|.A$."MUCH AS |
00003820: 33 35 25 20 4F 46 20 54 48 45 20 4C 41 4B 45 20 |35% OF THE LAKE |
00003830: 43 4F 55 4C 44 20 42 45 20 55 50 22 3A 8D 31 31 |COULD BE UP":.11|
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00003880: 41 56 45 52 41 47 45 20 4F 46 20 4F 4E 4C 59 20 |AVERAGE OF ONLY |
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000061D0: AB 49 29 3B C8 28 41 24 2C 49 29 3B C9 28 41 24 |.I);.(A$,I);.(A$|
000061E0: 2C 49 29 00 ED 69 0A 06 99 22 91 22 3B 00 F4 69 |,I)..i...".";..i|
000061F0: 0C 06 82 49 00 FD 69 0E 06 8D 31 30 36 00 17 6A |...I..i...106..j|
00006200: 10 06 8B 51 24 B2 22 4D 22 B0 51 24 B2 22 CD 22 |...Q$."M".Q$."."|
00006210: A7 43 48 B2 32 3A 8E 00 31 6A 12 06 8B 28 51 24 |.CH.2:..1j...(Q$|
00006220: B2 22 20 22 AF 46 4C B2 30 29 A7 43 48 B2 31 3A |." ".FL.0).CH.1:|
00006230: 8E 00 4F 6A 14 06 8B 46 4C A7 8B 51 24 B2 22 54 |..Oj...FL..Q$."T|
00006240: 22 B0 51 24 B2 22 D4 22 A7 43 48 B2 31 3A 8E 00 |".Q$.".".CH.1:..|
00006250: 6D 6A 16 06 8B 46 4C A7 8B 51 24 B2 22 44 22 B0 |mj...FL..Q$."D".|
00006260: 51 24 B2 22 C4 22 A7 43 48 B2 33 3A 8E 00 77 6A |Q$.".".CH.3:..wj|
00006270: 18 06 89 31 35 35 30 00 7D 6A 1A 06 3A 00 B6 6A |...1550.}j..:..j|
00006280: 1C 06 9F 31 35 2C 38 2C 31 35 2C 22 52 30 3A 48 |...15,8,15,"R0:H|
00006290: 45 4C 4C 4F 20 43 4F 4E 4E 45 43 54 3D 48 45 4C |ELLO CONNECT=HEL|
000062A0: 4C 4F 20 43 4F 4E 4E 45 43 54 22 3A 84 31 35 2C |LO CONNECT":.15,|
000062B0: 45 52 3A A0 31 35 00 C9 6A 1E 06 8B 45 52 B3 B1 |ER:.15..j...ER..|
000062C0: 36 33 A7 99 22 93 22 3A 80 00 00 6B 20 06 41 24 |63..".":...k .A$|
000062D0: B2 22 48 45 4C 4C 4F 20 43 4F 4E 4E 45 43 54 22 |."HELLO CONNECT"|
000062E0: 3A 51 24 B2 C7 28 33 34 29 3A 97 35 33 32 38 31 |:Q$..(34):.53281|
000062F0: 2C 37 3A 97 35 33 32 38 30 2C 37 3A 99 22 93 22 |,7:.53280,7:."."|
00006300: 00 1B 6B 22 06 99 22 9E 13 11 11 11 4C 4F 41 44 |..k"..".....LOAD|
00006310: 22 51 24 41 24 51 24 22 2C 38 22 00 44 6B 24 06 |"Q$A$Q$",8".Dk$.|
00006320: 99 22 11 11 11 11 52 55 4E 13 22 3A 97 36 33 31 |."....RUN.":.631|
00006330: 2C 31 33 3A 97 36 33 32 2C 31 33 3A 97 31 39 38 |,13:.632,13:.198|
00006340: 2C 32 3A 80 00 7F 6B 26 06 97 32 31 34 2C 31 35 |,2:...k&..214,15|
00006350: 3A 99 3A 99 22 20 20 9B 12 B8 B8 B8 B8 B8 B8 B8 |:.:." .........|
00006360: B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 |................|
00006370: B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 B8 98 22 00 |..............".|
00006380: B7 6B 28 06 81 49 B2 31 A4 33 3A 99 22 20 20 12 |.k(..I.1.3:." .|
00006390: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
000063A0: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
000063B0: 20 20 20 20 22 3A 82 00 E6 6B 2A 06 99 22 20 20 | ":...k*.." |
000063C0: 12 20 20 20 20 20 20 D0 55 42 4C 49 53 48 45 44 |. .UBLISHED|
000063D0: 20 4F 4E 20 CC CF C1 C4 D3 D4 C1 D2 20 23 36 32 | ON ........ #62|
000063E0: 20 20 20 20 20 22 00 15 6C 2C 06 99 22 20 20 12 | "..l,.." .|
000063F0: 20 20 20 20 73 55 42 53 43 52 49 50 54 49 4F 4E | sUBSCRIPTION|
00006400: 53 20 31 2D 38 30 30 2D 38 33 31 2D 32 36 39 34 |S 1-800-831-2694|
00006410: 20 20 20 20 22 00 44 6C 2E 06 99 22 20 20 12 20 | ".Dl..." . |
00006420: 20 20 20 20 20 20 C1 20 D3 CF C6 D4 C4 C9 D3 CB | . ........|
00006430: 20 D0 55 42 4C 49 43 41 54 49 4F 4E 20 20 20 20 | .UBLICATION |
00006440: 20 20 20 22 00 73 6C 30 06 99 22 20 20 12 20 20 | ".sl0.." . |
00006450: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
00006460: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
00006470: 20 20 22 00 A4 6C 32 06 99 22 20 20 97 12 B9 B9 | "..l2.." ....|
00006480: B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 |................|
00006490: B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 B9 |................|
000064A0: B9 B9 13 22 00 CF 6C 34 06 41 55 24 B2 22 D3 D4 |..."..l4.AU$."..|
000064B0: C1 D4 C9 D3 D4 C9 C3 C9 C1 CE 27 D3 20 D4 CF CF |..........'. ...|
000064C0: CC C2 CF D8 22 3A 97 32 31 34 2C 31 37 3A 99 00 |....":.214,17:..|
000064D0: E9 6C 36 06 99 A6 32 30 AB C3 28 41 55 24 29 AD |.l6...20..(AU$).|
000064E0: 32 29 22 12 98 22 41 55 24 00 15 6D 38 06 41 55 |2)".."AU$..m8.AU|
000064F0: 24 B2 22 C2 59 20 CA 4F 48 4E 20 C1 42 45 4C 45 |$.".Y .OHN .BELE|
00006500: 20 20 28 C3 29 20 31 39 38 39 22 3A 97 32 31 34 | (.) 1989":.214|
00006510: 2C 31 38 3A 99 00 34 6D 3A 06 99 A6 32 30 AB C3 |,18:..4m:...20..|
00006520: 28 41 55 24 29 AD 32 29 22 12 98 22 41 55 24 22 |(AU$).2)".."AU$"|
00006530: 13 22 3A 8E 00 00 00 |.":.... |
....D.. STATS TOOLBOX...F..116.$.H.:.7.J
..Q$:.Q$."".106.=.L...C.N.:._.P...(40.C(
A$)).2);T$;A$:..E.R.:...T.SA.679:.J.SA.S
A.35:.B:. J,B:..L.V.. 32,253,174,32,158,
183,138,56,201,40,144,5,162,14,76,139,22
7,72...X.. 32,253,174,32,158,183,138,56,
201,25,176,238,104,168,24,76,240,255...Z
.:.(.{.QZ.0:QW.1.B.|.. 53280,.:. 53281,.
:. 646,1:. 53272,23:FL.0:. CX(101)...~..
. D4(X)..(10000.X..05).10000...... . D1
(X)..(10.X..05).10:. . FRC(X). X..(X).R.
... . CN(X).20.C(MU$(X)).2.....SO$."
":SR$
.".".SO$.N.... MU$(6):MU$(2)." AVERAGE A
ND STD.DEV ":MU$(3)." T-TEST ".....MU$(1
)." CHI SQUARE ":MU$(4)." RANDOM NUMBERS
".....MU$(6)." QUIT ":MU$(5)." MEDIAN "
.....:.G...RN$.G(18):RF$.G(146)......".
. ............. "
;.*...." ... . ..
.. ";.[...." ........
.................";......"......
... ... ...";......"..
... ...........";...
..."........................
...";......" .. ....
... ";.P...." ...
......... .";......"..
... ";......"
... ...
";... .." ... ........
.........";......"..............
".=...."............ST
ATISTICIAN'S TOOLBOX".D....".
. PRESS ANY KEY ".....1574:.646,1:.1
06:.186.....:......".";......X.1.12:.SO$
:.:......:.F....".":.180:FL.0:T$.RN$:..S
....SA,0,12......X.1.12:.SR$:.:.SA,0,13:
......:.)....". OFTEN CALLED 'NUMBER
CRUNCHING', ";.Z...."STATISTICS OFFER
S US A LOT OF TOOLS TO ";......"GIVE ME
ANING TO WHAT IS OTHERWISE A ";.....
."JUMBLE OF NUMBERS. WE SAY JOE BASEBAL
L ";...B.."IS BATTING 500 THIS SEASON.
WE THEN ";...D.."KNOW HE IS HITTING O
NE FOR EVERY ONE HE ";.O.F.."MISSES. WE
CAN ALSO SEE THAT HE HAS THE";...H.."ED
GE ON MATTY HOMEPLATE WHO IS BATTING ";
...J.."470. THE BATTING AVERAGE IS A CR
UNCHED ";...L.."NUMBER, BASED ON A LONG
LIST OF SINGLE ";...N.."SWINGS. WE CAN
USE THE BATTING AVERAGE ";.D.P.."WHERE
THE LIST OF SINGLE SWING RESULTS ";.U.R
.."WOULD SIMPLY CONFUSE US.
";...T.."
";.W.V.." THIS TOOLBOX I
S AN INTRODUCTION TO ";...X.."SOME OTHER
STATISTICAL TOOLS THAT GIVE ";.9.Z.."A
SINGLE NUMBER TO DESCRIBE A LOT OF "
;.J...."NUMBERS. YOU'LL BE ABLE TO VIEW
A ";......"TUTORIAL AS WELL AS TRY
USING THE TOOLS ";.L...."FOR YOURSELF.
";......"..
. PRESS ANY KEY "......106.%..
.T$.RF$:.". THE TOOLBOX".H.
..." ===========..".L.... X
.1 . 6:. .. CN(X))MU$(X):.:......."....C
RSR UP/DN TO SELECT / RETURN TO CHOOSE".
X....". F1 - BACKGROUND COLOR F7 - TEXT
COLOR":X.1:.240......"..............":.
242......"...."........ CN(X))".";MU$(X)
.-....QF$:.QF$."".244.F....QF$.".".QF$."
.".251.Y....QF$.G(13).264.Q....QF$.".".X
.X.1:.255......QF$.".".X.X.1:.254......2
44.H....QF$.".".QZ.QZ.1:QZ.QZ.15:.QZ.QW.
QZ.QZ.1:QZ.QZ.15......QF$.".".QW.QW.1:QW
.QW.15:.QW.QZ.QW.QW.1:QW.QW.15.#....5328
1,QZ:.53280,QZ:.646,QW:.230.J....".".. C
N(X.1))MU$(X.1)"....":.256.F....".".. CN
(X.1))MU$(X.1).X....X.6.X.1:.240......X.
1.X.6:.238......".".. CN(X))".";MU$(X)..
....244.....:.W....X.266,828,960,1164,12
96,1564.....T$.RF$:.284...... SA,0,3....
.." ...............".2...."
. . .".W...." .......
..............".V...." . .
."......" ...................
.."......" . ."......
......"........... THE CHI-SQUARE TEST .
....".....A$."THE BASIC IDEA BEHIND THE
CHI":.112.I. .A$."SQUARE IS TO FIND OUT
IF A SET OF":.112.Y.".A$."NUMBERS JUST H
APPENED THAT WAY BY":.112...$.A$."'CHANC
E' - OR IF THERE WAS SOME":.112.V.&.A$.
"SOCIAL OR ECONOMIC FACTOR WHICH":.112..
.(.A$."MIGHT HAVE INFLUENCED THE OUTCOME
":.112.$.*.A$."TO SOME EXTENT.":.112.F.,
.A$.". T-TUTORIAL D-DATA ENTRY M-ME
NU .":FL.1:DA.0:.1536.|.... CH .304,230
,610...0..".":.180:FL.0:T$.RN$.C.2.A$."H
ERE WE SEE THE TYPICAL 2 BY 2":.112...4.
A$."CHI-SQUARE GRID. THIS ONE DISPLAYS"
:.112.(.6.A$."THE RESULTS OF A (FICTITIO
US) SURVEY":.112.[.8.A$."WHERE PEOPLE WE
RE ASKED WHETHER THEY":.112...:.A$."PREF
ERRED USING A COMMODORE 64 OR AN":.112..
.<.A$."IBM-PC. ALSO, THEIR RESIDENCE WA
S":.112...>.A$."CATEGORIZED AS EAST OR W
EST OF THE":.112...@.A$."MISSISSIPPI RIV
ER.":.112...B..268.@.D.. SA,4,4:."EAST":
. SA,4,6:."WEST".W.F.. SA,11,4:."344":.
SA,17,4:."451":. SA,11,6:."482"...H.. SA
,17,6:."499":. SA,10,2:."C-64":. SA,17,2
:."IBM".G.J..1536:. CH .332,230.P.L..180
...N.A$."THE SURVEY RESULTS ARE SET UP I
N":.112.1.P.A$."A GRID OF 2 ROWS AND 2 C
OLUMNS SEEN":.112.[.R.A$."HERE. IT LOOKS
LIKE A SMALL":.112...T.A$."SPREADSHEET.
IF WE HAD INCLUDED APPLE":.112...V.A$."
COMPUTERS IN OUR SURVEY WE WOULD":.112..
.X.A$."HAVE A GRID OF 2 ROWS BY 3 COLUMN
S.":.112...Z.A$."WE PUT IN THE ROW AND":
.112.A.\.A$."COLUMN TOTALS BECAUSE THEY
ARE":.112.L.^.A$."NEEDED TO DO THE CHI-S
QUARE.":.112...`.. SA,23,4:."795":. SA,2
3,6:."981":. SA,11,8:."826".Q.B.. SA,17,
8:."950":. SA,23,8:. "1776":.1536...D..
CH .358,230...F..180...H.A$."THE CHI-SQU
ARE TEST LOOKS AT THE":.112.K.J.A$."ACTU
AL SURVEY RESULTS WE SEE HERE":.112.Y.L.
A$."AND COMPARES THEM TO WHAT WOULD":.11
2. .N.A$."BE EXPECTED BY 'CHANCE.'":.112
.T.P.A$."WE WANT TO KNOW IF PEOPLE IN ON
E AREA":.112...R.A$."REALLY PREFER ONE C
OMPUTER OVER":.112...T.A$."ANOTHER OR TH
ESE RESULTS JUST":.112.B.V.A$."HAPPENED
BY CHANCE.":.112:.1536:.CH.376,230.K.X..
180...Z.A$."WE START BY FINDING THE CORR
ESPONDING":.112.P.|.A$."'EXPECTED' VALUE
FOR EACH OF THE 4":.112...~.A$."ACTUAL
VALUES SHOWN. THE EXPECTED":.112.1...A$
."VALUE IS FOUND BY MULTIPLYING THE":.11
2.C...A$."CORRESPONDING ROW AND COLUMN T
OTALS":.112.....A$."FOR EACH VALUE THEN
DIVIDING THE":.112.....A$."PRODUCT BY TH
E GRAND TOTAL.":.112.....A$."826 TIMES 7
95 DIVIDED BY 1776 IS":.112.....A$."369.
8 - THE EXPECTED VALUE FOR 344.":.112.6.
... SA,10,4:.". 344 .".H.... SA,12,10:."
^":. SA,29,4:."_":. SA,29,8:."_"......15
36:. CH .402,230......180.....A$."HERE W
E SEE THE FOUR ACTUAL NUMBERS":.112.....
A$."FROM OUR GRID COMPARED TO THE NUMBER
":.112.. ..A$."EXPECTED BY CHANCE. THER
E IS A":.112.L ..A$."DIFFERENCE, BUT IS
THE DIFFERENCE":.112.U ..A$."SIGNIFICANT
?":.112:.172:. SA,0,2.. ..."A(CTUAL) E(
XPECTED)".. .. SA,0,3.. ..."........ .
.........".T ... " 344 369.8".. .
.. " 482 456.2"..!... " 451
425.2"."!... " 499 524.8".:!...
1536:. CH .430,230.C!...180.T!..A$."EACH
ACTUAL/EXPECTED PAIR PRODUCES":.112..!.
.A$."A CHI-SQUARE VALUE. THEN WE SUM TH
E":.112.Z!..A$."FOUR CHI-SQUARE VALUES F
OR THIS DATA":.112.."..A$."SET. EACH CH
I-SQUARE VALUE IS THE":.112.:"..A$."SQUA
RE OF THE DIFFERENCE BETWEEN":.112.G"..A
$."ACTUAL AND EXPECTED DIVIDED BY":.112.
."..A$."EXPECTED. WE SHOW THIS IN THE C
HART.":.112.."... SA,23,2:."(A-E)^2/E".Q
"... SA,23,3:.".........".."B.. SA,25,4:
."1.7928"..#D.. SA,25,5:."1.4528"..#F..
SA,25,6:."1.5588".1#H.. SA,25,7:."1.2632
".K#J.. SA,23,8:."........".P#L.. SA,12,
9:."CHI-SQUARE = 6.0676"..#N..1536:. CH
.464,230..#P..180..#R.A$."NEXT WE DETERM
INE THE LEVEL OF":.112..#T.A$."SIGNIFICA
NCE CORRESPONDING TO OUR":.112..$V.A$."C
HI SQUARE VALUE OF 6.0676":.112.H$X.A$."
THE EASIEST WAY HERE IS TO LOOK IT":.112
.Q$Z.A$."UP IN A CHI-SQUARE TABLE -":.11
2..$..A$."FOUND IN ANY STATISTICS TEXTBO
OK.":.112..$...1536:. CH .480,230.B$...1
80..$..A$."THE CHI-SQUARE TABLE SHOWS TH
AT FOR":.112.%%..A$."1 DEGREE OF FREEDOM
ANY CHI-SQUARE":.112.X%..A$."VALUE HAS
TO BE AT LEAST 3.841 TO BE":.112..%..A$.
"SIGNIFICANT. OUR VALUE OF 6.0676":.112
..%..A$."IS HIGHER THAN 3.841":.112..%..
A$."SO OUR CHI-SQUARE IS SIGNIFICANT!":.
112..&..A$."IN OUR FICTITIOUS DATA, RESI
DENCE":.112.=&..A$."DOES INFLUENCE COMPU
TER PREFERENCE.":.112.U&...1536:. CH .50
0,230.^&...180..&..A$."TO BE ACCURATE, W
E SHOULD SAY THAT":.112..&..A$."THE CRIT
ICAL VALUE FROM THE BOOK":.112..&..A$."(
3.841) THAT WE MUST EXCEED TO OBTAIN":.1
12..'..A$."SIGNIFICANCE IS REALLY FOR":.
112.H'..A$."SIGNIFICANCE AT THE .05 LEVE
L.":.112.Y'..A$."THAT IS, WE WANT TO BE
95% CERTAIN":.112..'..A$."THAT THERE IS
INTERACTION BETWEEN":.112.H'..A$."THESE
VARIABLES.":.112..'...1536:. CH .520,230
..'...180..(..A$."IF WE WANTED TO BE 99%
CERTAIN WE":.112.G(..A$."WOULD HAVE TO
HAVE A CHI-SQUARE":.112.S(..A$."VALUE OF
AT LEAST 6.635. OUR":.112..(..A$."VALU
E OF 6.0676 FALLS JUST SHORT":.112.T(..A
$."OF THIS FIGURE. IF WE WANTED TO BE":
.112..)..A$."99.9% CERTAIN THE CHI SQUAR
E WOULD":.112.))..A$."HAVE TO EXCEED 10.
826":.112.[)..A$."95% CERTAINTY IS ACCEP
TABLE IN MOST":.112.P)..A$."CASES.":.112
..)...1536:.CH.542,230..)...180.D) .A$."
THE 'DEGREES OF FREEDOM' IS A COUNT OF":
.112..)".A$."THE NUMBER OF ROWS AND COLU
MNS THE":.112.$*$.A$."CHI SQUARE GRID HA
S. OURS HAS 1":.112.W*&.A$."DEGREE OF F
REEDOM. IT IS CALCULATED":.112..*(.A$."
AS THE NUMBER OF ROWS MINUS 1 TIMES":.11
2..**.A$."THE NUMBER OF COLUMNS MINUS 1.
":.112..*,.A$."(R-1) * (C-1) = DEGREES O
F FREEDOM.":.112..+..A$."IN OUR CASE, (2
-1) * (2-1) = 1":.112.6+0.A$."DEGREE OF
FREEDOM.":.112.N+2..1536:. CH .564,230.W
+4..180..+6.A$."LET'S FINISH THIS REPORT
AS IT IS":.112..+8.A$."USUALLY DONE. W
E REPORT THE DEGREES":.112..+:.A$."OF FR
EEDOM WITH THE LABEL 'D.F.'":.112..,<.A$
."WE REPORT THE LEVEL OF SIGNIFICANCE":.
112.M,>.A$."WITH THE LABEL 'P' WHICH STA
NDS FOR":.112.Y,@.A$."THE PROBABILITY TH
AT THE DATA":.112..,B.A$."DISTRIBUTION O
CCURRED BY CHANCE.":.112.V,D.A$."HERE IT
READS P IS 'LESS THAN':GOSUB7..,F.. SA,
18,10:."D.F. = 1"..-H.. SA,21,11:."P < .
05".#-J..1536:. CH .588,230.,-L..180.A-N
.A$."THAT'S ALL THERE IS TO THE CHI-SQUA
RE.":.112..-P.A$."IT IS A POWERFUL TOOL
IF USED":.112..-R.A$."PROPERLY.":.112..-
T..:.:...-V.A$."NOW YOU'RE READY TO TRY
THE CHI":.112...X.A$."SQUARE USING YOUR
OWN DATA.":.112.;.Z.. SA,3,23:.". END OF
TUTORIAL PRESS ANY KEY .".D.\..106.M.^
..230.S.`.:.K.B.DA.0:FL.9:.".":.268...D.
. SA,9,2:."COL 1"...F.. SA,16,2:."COL 2"
...H.. SA,2,4:."ROW 1".D.J.. SA,2,6:."RO
W 2"...L..180:. SA,0,14:T$.RN$../N.A$."H
ERE'S A BLANK 2 BY 2 GRID.":.112.8/P.A$.
"TYPE AND ENTER YOUR WHOLE NUMBERS":.112
.K/R.A$."AT THE FLASHING CURSORS IN THE
GRID.":.112../T.A$."THE MAXIMUM IS 4 DIG
ITS PER NUMBER.":.112../V.. SA,11,4../X.
L.4:.1506.K/Z.A(1)..(E(S$)).Y/|.. SA,18,
4../~.L.4:.1506../..A(2)..(E(S$))..0...
SA,11,6..0..L.4:.1506.'0..A(3)..(E(S$)).
50... SA,18,6.C0..L.4:.1506.U0..A(4)..(E
(S$)).C0... SA,0,20..0...".. YOU ENTE
RED "A(1);".,"A(2);".,"A(3);".,"A(4):FL.
0..0...1536:. CH .660,230..0..T(1).A(1).
A(2):T(2).A(3).A(4):T(3).A(1).A(3):T(4).
A(2).A(4)..1..T(5).A(1).A(2).A(3).A(4).2
1..E(1).((T(1).T(3)).T(5)).N1..E(2).((T(
1).T(4)).T(5)).J1..E(3).((T(2).T(3)).T(5
))..1..E(4).((T(2).T(4)).T(5)):.180..1 .
A$."NOW LET'S PUT IN THE MARGINAL TOTALS
":.112.S1... SA,23,4:. T(1)..1... SA,23,
6:. T(2)..1... SA,9,8:. T(3)..2... SA,16
,8:. T(4).&2... SA,23,8:. T(5).42... SA,
0,15.C2..A$."DO YOU REMEMBER WHAT WE DO
NEXT?":.112..2..A$."WE CALCULATE THE EXP
ECTED VALUE FOR":.112.F2..A$."EACH OF TH
E 4 ACTUAL VALUES YOU'VE":.112..2..A$."J
UST ENTERED. WE USE THE ROW AND":.112..
3..A$."COLUMN TOTALS TO DO THIS.":.112.6
3...1536:. CH .698,230.?3...180.V3..A$."
LET'S GET THE EXPECTED VALUE FOR".D(A(1)
):.112..3..A$."FOUND IN ROW 1 AT COLUMN
1":.112:..W3..A$."ROW TOTAL =".D(T(1))."
& COL TOTAL =".D(T(3))..3B.. SA,12,10:.
"^"..3D.. SA,29,4:."_"..4F.. SA,0,16:.11
2.K4H.A$.D(T(1))." TIMES".D(T(3))." IS".
D(T(1).T(3)):.112:..{4J.A$.D(T(1).T(3)).
" DIVIDED BY".D(T(5))." IS"..4L.. SA,29,
8:."_"..4N.. SA,0,19:.112..4P.A$.D(. D1(
E(1))):.112.D4R.X2.0.R4T.. X.1 . 4..4V.D
(X).A(X).E(X)..4X.D(X).D(X).D(X)..5Z.D(X
).D(X).E(X)..5..X2.X2.D(X)."5... X.85...
1536:.CH.738,230.A5...180.U5..A$."LET'S
PUT IN ALL THE EXPECTED VALUES.":.112..5
...172:. SA,2,2..5..."A(CTUAL) E(XPECT
ED)":. SA,2,3.S5..."........ .........
.":. SA,0,4..5..A$.D(A(1)):E$.D(. D1(E(1
))):.1458..6... SA,0,5.,6..A$.D(A(2)):E$
.D(. D1(E(2))):.1458.96... SA,0,6._6..A$
.D(A(3)):E$.D(. D1(E(3))):.1458.L6... SA
,0,7..6..A$.D(A(4)):E$.D(. D1(E(4))):.14
58..6...1536:.CH.764,230..6...180..6..A$
."NOW, ALL THAT WE NEED DO IS FIND CHI":
.112..7..A$."SQUARE AND SEE IF IT EXCEED
S 3.841":.112.)7...1474:. SA,0,15._7..A$
."THE CHI SQUARE VALUE FOR YOUR DATA IS"
:.112:..Y7..A$.D(. D4(X2)):.112:...7...
X2.3.841 .784..7... X2..3.0345 . X2.6.63
5 .792.O7... X2..6.635 . X2.10.827 .800.
.7... X2.10.827 .808..8..A$."THIS CHI-SQ
UARE VALUE IS NOT":.112.%8..A$."SIGNIFIC
ANT.".E8..P$.">.05 = NOT SIGNIFICANT".S8
...112:.816..8..A$."THIS CHI-SQUARE IS S
IGNIFICANT AT THE":.112..8..A$.".05 LEVE
L BUT NOT AT THE .01 LEVEL.".P8..P$."<.0
5 = SIGNIFICANT"..8...112:.816..9 .A$."T
HIS CHI-SQUARE IS SIGNIFICANT AT THE":.1
12.?9".A$.".01 LEVEL. YOU CAN BE 99% CE
RTAIN!".[9$.P$."<.01 = SIGNIFICANT".I9&.
.112:.816..9(.A$."THIS CHI-SQUARE IS SIG
NIFICANT AT THE":.112.Q9*.A$.".001 LEVEL
. YOU ARE APPROACHING 100%":.112..:,.A$
."CERTAINTY ABOUT ITS SIGNIFICANCE.":.11
2..:..P$."<.001 = SIGNIFICANT".E:0.. SA,
16,9:."CHI-SQUARE =";. D4(X2).`:2.. SA,2
2,10:."D.F. = 1".X:4.. SA,14,11:."P ";P$
..:6.. SA,3,23:.". END OF ANALYSIS PRES
S ANY KEY ."..:8..106..::..230.M:<.FL.0:
.".";..;>.." . THE AVERAGE AND STANDA
RD DEVIATION .....".6;@.A$."THE AVERAGE
IS SIMPLY TAKING THE SUM":.112.G;B.A$."O
F THE NUMBERS AND DIVIDING BY HOW":.112.
.;D.A$."MANY NUMBERS THERE ARE.":.112:..
.;F.A$."3 + 4 + 5 = 12":.112:...;H.A$."H
ERE ARE 3 NUMBERS ADDING UP TO 12":.112:
...<J.A$."12/3 = 4, SO 4 IS THE AVERAGE
OF":.112.-<L.A$."THESE NUMBERS.":.112._<
N.A$.". T-TUTORIAL D-DATA ENTRY M-M
ENU ."..<P.FL.1:.1536:. CH .850,230,942
..<R..".....":FL.0.F<T.A$."THERE IS A ST
ORY ABOUT A STATISTICIAN":.112..<V.A$."W
HO DROWNED IN A LAKE WITH AN AVERAGE":.1
12..=X.A$."DEPTH OF 3 FEET!":.112.D=Z.A$
."THE POOR MAN WAS MISSING HIS":.112.F=\
.A$."STANDARD DEVIATION.":.112..=^.A$."T
HAT FIGURE WOULD HAVE TOLD HIM":.112.G=`
.A$."THAT THE DEPTH AT ANY ONE SPOT COUL
D":.112..=B.A$."BE ANYWHERE FROM 6 INCHE
S TO 7 FEET.":.112..>D.A$."THE STANDARD
DEVIATION GIVES YOU SOME":.112.B>F.A$."I
DEA OF HOW MUCH FLUCTUATION THERE IS":.1
12..>H.A$."IN THE FIGURES USED TO CALCUL
ATE THE":.112..>J.A$."AVERAGE.":.112.D>L
..1536:. CH .878,230..>N.."...":A$."A ST
D.DEV. VALUE WELL BELOW":.112.(?P.A$."TH
E VALUE OF THE AVERAGE MEANS THERE":.112
.Z?R.A$."IS LITTLE FLUCTUATION - MOST OF
THE":.112..?T.A$."MEASURES OF THE LAKE'
S DEPTH WERE":.112..?V.A$."RIGHT AROUND
3 FEET AND AVERAGED OUT":.112.Z?X.A$."TO
THREE FEET.":.112..@Z.A$."BUT A STD.DEV
. OF 5 WOULD MEAN THAT AS":.112.A@|.A$."
MUCH AS 35% OF THE LAKE COULD BE UP":.11
2.T@~.A$."TO 8 FEET DEEP WHILE STILL PRO
DUCING":.112..@..A$."AN AVERAGE OF ONLY
3 FEET.":.112:..T@..A$."3 + 3 + 3 + 3 +
3 = 15, HAS AN AVERAGE":.112..A..A$."OF
3 AND A STD.DEV. OF 0 BEACUSE":.112.<A..
A$."THERE IS NO FLUCTUATION IN THE NUMBE
RS." :.112:..QA..A$."1 + 2 + 5 + 4 + 3 =
15, HAS AN AVERAGE":.112..A..A$."OF 3 A
S WELL, BUT HAS A STD.DEV. OF":.112.PA..
A$."1.5 BECAUSE OF THE FLUCTUATION":.112
..A..A$."IN THE NUMBERS.":.112..A...602.
9B..T$.RF$:N.0:MM.0:TT.0:T2.0:SD.0:FL.0:
DA.1:A$.XX$:. SA,0,0:.112.AB..N.1.UB...
SA,0,4:."
"..B... SA,0,4:."ENTRY #";N"-> ";..B
..FL.9:L.7:.1506:. S$."X" .928.ZB..TT.TT
.E(S$):T2.T2.(E(S$).E(S$))..C..N.N.1:. S
A,30,4:."OK":. TM.1 . 300:.:DA.1:.918..C
..N.3.920.GC... SA,0,4:."
".RC..N.N.1:MM.TT.N:SD..((
T2.N.MM.MM).(N.1))..C... N.. 3 . SD..((T
2.N.MM.MM).(N.1)):SD$.D(. D1(SD)).IC...
N.3 . SD$."NOT AVAILABLE"..C... SA,6,7:.
"TOTAL="TT..D... .6)"AVERAGE =";. D1(MM)
.9D... .6)"STANDARD DEVIATION =";SD$:.19
8,0:.JJ.1.500:.:..SD...".":.180:T$.RN$:F
L.0.|D..XX$."AVERAGE AND STANDARD DEVIAT
ION"..D..A$."TYPE AND ENTER YOUR NUMBERS
ABOVE":.112.XD..A$."YOU MAY USE DECIMAL
POINT AND":.112..E..A$."NEGATIVE NUMBER
S IF YOU WISH.":.112.7E... SA,0,18:A$."P
RESS F1 TO END DATA ENTRY":.112.UE..A$."
AND SEE RESULTS":.112.IE..L.7:.914:T$.RN
$.RE...822.{E..."."..EB.A$.". THE T-TEST
.":. SA,0,0:.112..ED..".....":FL.0..EF.
A$."THE T-TEST IS A WAY TO MEASURE THE":
.112..FH.A$."DIFFERENCE BETWEEN TWO AVER
AGES.":.112.FFJ.A$."IS THE DIFFERENCE LA
RGE ENOUGH TO BE":.112.ZFL.A$."STATISTIC
ALLY SIGNIFICANT OR SO SMALL":.112..FN.A
$."THAT THEY ONLY APPEAR TO BE DIFFERENT
-":.112..FP.A$."THAT ANY DIFFERENCE IS
ONLY DUE TO":.112..FR.A$."CHANCE.":.112.
)GT.A$.". T-TUTORIAL D-DATA ENTRY M
-MENU .".KGV.FL.1:.1536:. CH .984,230,1
038.UGX.FL.0:T$.RF$:.".":A$."T-TEST":.11
2:.:...GZ.A$."THE T-TEST AND THE CHI SQU
ARE HAVE A":.112.ZG..A$."LOT IN COMMON.
THE T-TEST COMPARES":.112..H..A$."AVERA
GES TO WHAT WOULD HAVE BEEN":.112.;H..A$
."EXPECTED BY CHANCE, JUST AS THE CHI":.
112.MH..A$."SQUARE COMPARES ACTUAL TO EX
PECTED.":.112. H..A$."THE CHI SQUARE TUT
ORIAL SHOWS BETTER":.112..H..A$."HOW THI
S WORKS.":.112..H..A$."THE T-TEST USES D
EGREES OF FREEDOM":.112.#I..A$."JUST AS
CHI SQUARE AND WE COMPARE OUR":.112.XI..
A$."T SCORE TO A PUBLISHED TABLE OF 'T'
TO":.112..I..A$."DETERMINE LEVEL OF SIGN
IFICANCE OF":.112..I..A$."THE RESULTS.":
.112..I...1536:. CH .1012,230.JI..."....
."..I..A$."WHEN WE SAY THAT TWO AVERAGES
ARE":.112.,J..A$."SIGNIFICANTLY DIFFERE
NT WE ARE ONLY":.112.TJ..A$."TALKING ABO
UT STATISTICAL":.112..J..A$."SIGNIFICANC
E. SOCIAL AND ECONOMIC":.112..J..A$."SI
GNIFICANCE CAN EXIST IN THE":.112..J..A$
."ABSENCE OF STATISTICAL SIGNIFICANCE.":
.112..K..A$."MIKE CATCHERSMITT MAY EARN
MORE MONEY":.112.KK..A$."OR BE MORE POPU
LAR THAN JOE BASEBALL":.112.{K..A$."ON A
CCOUNT OF HIS BATTING AVERAGE":.112..K..
A$."EVEN IF STATISTICALLY HIS AVERAGE IS
":.112.RK..A$."NO BETTER THAN JOE'S.":.1
12..K...602..K...".":.180:FL.0:T$.RN$..L
..XX$."THE FIRST AVERAGE FOR T-TEST".OL.
.A$."ENTER THE DATA FOR THE FIRST AVERAG
E":.112.YL..A$."TO BE USED IN THE T-TEST
.":.112:...L..A$."YOU MAY USE DECIMALS A
ND NEGATIVE":.112.ZL..A$."NUMBERS. PRES
S F1 WHEN DATA ENTRY":.112..L..A$."IS CO
MPLETE.":.112..M..L.7:.914..M..N1.N:X1.T
T:Q1.T2:S1.SD.;M .FL.0:.1536:. CH .1058,
230.DM"..178.XM$.A$."ENTER THE DATA FOR
THE SECOND AVERAGE":.112..M&.A$."TO BE U
SED IN THE T-TEST.":.112:..IM(.A$."PRESS
F1 WHEN DATA ENTRY":.112..M*.A$."IS COM
PLETE.":.112..M,.L.7..N..XX$."THE SECOND
AVERAGE FOR T-TEST"..N0..914.8N2.N2.N:Y
1.TT:Q2.T2:S2.SD.GN4.DF.N1.N2.2.EN6.FL.0
:.1536:. CH .1080,230..N8.V1.((Q1.X1.X1.
N1).(Q2.Y1.Y1.N2)).DF..N:.V1.V1.(1.N1.1.
N2)..N<.TS..(X1.N1.Y1.N2)..(V1).QN>.R.A(
TS..(DF))..N@.RC..(R)..NB.XX.1..ND.R2.RC
.RC..NF.RS..(R)..OH.. DF.1 . YY.R:.1106.
2OJ.. DF.2..(DF.2) . .1116.<OL.YY.RC.QON
.. Z.3 . DF.2 . 2.FOP.XX.XX.R2.(Z.1).Z.V
OR.YY.YY.XX.RC.~OT.. Z..OV.YY.R.RS.YY..O
X.P.1.YY..6366197723..OZ..1128..O\.YY.1.
NO^.. Z.2 . (DF.2) . 2..O`.XX.XX.R2.(Z.1
).Z..OB.YY.YY.XX..OD.. Z..PF.P.1.YY.RS..
PH..".".&PJ.A$."T-TEST":.112:..LPL...9)"
FIRST GROUP SECOND GROUP".RPN...9)"..
......... ............"..PP...5)"COUN
T:".15)N1;.28)N2..PR...5)"TOTAL:".15)X1;
.28)Y1..PT...3)"AVERAGE:".15). D1(X1.N1)
;.28). D1(Y1.N2)..QV...3)"STD.DEV:".15).
D1(S1);.28). D1(S2):..'QX...16)"T = ";.
D4(TS).:QZ..:..16)"P = ";.]Q|.. P..0000
1 . ."< 10(-6)":.1152.KQ~.. . D4(P)..Q..
.:. P..05 . . .16)"T IS SIGNIFICANT.":.1
162..Q... .10)"T IS NOT SIGNIFICANT".QQ.
.. .15)"...":."."..Q....9)"P MUST BE LES
S THAN .05"..R....9)"FOR T TO BE SIGNIFI
CANT"..R...822.FR...". . RANDOM
NUMBERS .....".TR..A$."WE LET THE COMPUT
ER PICK RANDOM":.112..R..A$."NUMBERS FOR
US BECAUSE WE HAVE":.112.UR..A$."HIDDEN
LIKES AND DISLIKES FOR VARIOUS":.112..S
..A$."NUMBERS AND COMBINATIONS OF NUMBER
S":.112.6S..A$."THAT BIAS OUR CHOICES OF
NUMBERS":.112.AS..A$."AND MAKE THEM NOT
SO RANDOM.":.112..S...:.:A$."THIS PROGR
AM WILL SELECT":.112..S..A$."RANDOM NUMB
ERS FOR YOU WITHIN A":.112..S..A$."RANGE
YOU SPECIFY.":.112..T .A$."IT WILL ELIM
INATE ANY DUPLICATE NUMBERS":.112./T..FL
.0:.1536:. CH .1188,230.8T...".".PT... S
A,0,1:A$."WHERE DO YOU WANT YOUR NUMBERS
":.112:...T... .9)"S....SCREEN ONLY..T..
..9)"P....PRINTER AND SCREEN".AT..A$."S/
P ?":.112.XT... B$:. B$."" .1198..T... B
$."S" . B$."P" .1204..T...1198..U..L.5:F
L.9.DU...:."THE SMALLEST NUMBER WANTED I
S ";:.1506:AN.E(S$).{U...".THE LARGEST
NUMBER WANTED IS ";:.1506:AX.E(S$)..U..
. AX..AN .1286..U..L.5.JU...".HOW MANY N
UMBERS FROM";AN;"TO";AX" ";:.1506.WU..N
M.E(S$)..UB.. NM.100 . NM . 100..VD.. NM
.AX.AN.1 .1268..VF..".".5VH.. NM"NUMBERS
BETWEEN";AN;"AND";AX._VJ.." -----------
----------------------".PVL.T.1:X..(.TI)
..VN.X..(.(0).(AX.1.AN).AN):X..(X):. T.1
.1236..VP.CX(T).X:. CX(T),:T.T.1.LVR..
T.NM.1 .1240..VT.. M.1 . T:. X.CX(M) .12
30..VV.. M:.1232..WX.. B$."P" . .1248.3W
Z.A$."PRESS ANY KEY":. SA,0,23:.112.<W..
.106.JW..FL.0:.230.VW...4,4:.4..W...4,.2
0)NM"RANDOM NUMBERS FROM"AN"TO"AX:.4:.4.
.W..Y.0..W..X.1..W..Y.Y.1:. Y.NM .1266.D
W..TB.12.C(D(CX(Y))).XW...4,.TB)CX(Y);
..W..X.X.1:. X..4 .1256..W...4:.1254..X.
..4: 4:...X... SA,0,15.AX..." OOPS!";
AX"MINUS"AN"IS";AX.AN"..".FX..." "NM"
IS GREATER THAN THIS!"..X...". I CAN'
T PRODUCE"NM;"NUMBERS IN A "..X..." R
ANGE OF"AX.AN".."..X... SA,0,23..X..A$."
.PRESS ANY KEY":.112..X...106..X...230..
X... SA,0,15.'Y..." OOPS! YOU SEEM TO
HAVE REVERSED".KY..." YOUR SMALLEST A
ND LARGEST".XY..." NUMBERS. I CAN'T T
HINK BACKWARDS!"..Y...1278..Y...".......
........ THE MEDIAN ......"..Y..A$."DID
YOU EVER DRIVE DOWN A HIGHWAY":.112..Z..
A$."WITH A MEDIAN STRIP ON IT? THE":.11
2.:Z..A$."NOTION OF THE MEDIAN IN STATIS
TICS":.112.MZ..A$."IS THE SAME IDEA: THE
NUMBER THAT IS":.112..Z..A$."DEAD-CENTE
R IN A SERIES OF NUMBERS.":.112..Z..A$."
. T-TUTORIAL D-DATA ENTRY M-MENU .
":FL.1:DA.0:.1536..Z...CH.1312,230,1402.
.[ ..178.2[".A$."WHEN WE LOOK AT A SERIE
S OF NUMBERS":.112.G[$.A$."THE MEDIAN IS
THAT NUMBER RIGHT IN THE":.112..[&.A$."
CENTER OF THE DISTRIBUTION.":.112..[(.A$
."FIRST WE GET SOME NUMBERS.":.112..[*..
SA,0,1:..6)"13":..6)"29":..6)"11":..6)"
5"..\,...6)"33":..6)"17":..6)" 9":.1536
.!\...CH.1328,230.V\0..180:A$."NEXT IT H
ELPS TO SORT THE NUMBERS":.112..\2.A$."I
NTO ASCENDING ORDER SO WE CAN BETTER":.1
12..\4.A$."VISUALIZE THE DISTRIBUTION.
ANY":.112..\6.A$."STATISTICS PROGRAM THA
T INCLUDES THE":.112..]8.A$."MEDIAN AS O
NE OF ITS FUNCTIONS WILL":.112.S]:.A$."S
ORT THE NUMBERS (OR AN INDEX TO THEM)":.
112..]<.A$."PRIOR TO CALCULATING THE MED
IAN.":.112..]>.. SA,0,1:..16)" 5":..16)"
9":..16)"11".Y]@...16)"13":..16)"17":..
16)"29":..16)"33"..]B..1536..]D..CH.1350
,230.(^F..180:A$."THE MEDIAN POSITION IS
THE COUNT":.112.V^H.A$."PLUS 1 DIVIDED
BY 2. WE HAVE 7":.112..^J.A$."NUMBERS H
ERE, SO (7+1)/2 EQUALS 4":.112..^L.A$."I
N THE SORTED DISTRIBUTION, 13 OCCUPIES":
.112..^N.A$."THE MEDIAN POSITION, SO WE
DECLARE 13":.112.._P.A$."TO BE OUR MEDIA
N VALUE.":.112.C_R.. SA,0,1:..26)" 5":..
26)" 9":..26)"11":..I_T...26)"13 _":.:..
26)"17":..26)"19".}_V...26)"33":.1536.._
X..CH.1370,230.I_Z..".":.180:A$."IN THE
EVENT WE EAVE AN EVEN COUNT":.112.._\.A$
."THE MEDIAN POSITION IS HALFWAY BETWEEN
":.112.2`^.A$."THE TWO NEAREST POSITIONS
. IF WE HAD":.112.C``.A$."8 SORTED NUMB
ERS, THE MEDIAN VALUE":.112..`B.A$."WOUL
D BE HALFWAY BETWEEN THE FOURTH":.112.F`
D.A$."AND FIFTH POSITION BECAUSE (8+1)/2
":.112..`F.A$."EQUALS 4.5. HERE OUR MED
IAN IS 12":.112.(AH.A$."12 IS THE VALUE
THAT FALLS HALFWAY":.112.HAJ.A$."BETWEEN
11 AND 13":.112.SAL.. SA,0,0:..10)" 2":
..10)" 5":..10)" 9"..AN...10)"11":..10)"
13":..10)"17":..10)"19"..AP...10)"33".XA
R.. SA,0,0:..20)" 2":..20)" 5":..20)" 9"
..AT...20)"11":.:..19)"(12) _":..%BV...
20)"13":..20)"17":..20)"19":..20)"33"..B
X..602.7BZ..178.LB|.XX$."THE MEDIAN".ZB~
.A$."YOU MAY ENTER UP TO 100 NUMBERS":.1
12..B..A$."AND THE MEDIAN WILL BE CALCUL
ATED.":.112:...B..A$."PRESS F1 WHEN DATA
ENTRY IS COMPLETED.":.112:...C..A$."EAC
H ENTRY IS BUBBLE SORTED INTO":.112.DC..
A$."ASCENDING ORDER DURING DATA ENTRY.":
.112.MC..T$.RF$:N.1:DA.1:A$.XX$:. SA,0,0
:.112..C... SA,0,4:."
".AC... SA,0,4:."ENTRY #
";N"-> ";..C..FL.9:L.7:.1506:. S$."X" .1
430..D... SA,26,4:."OK":.TM.1.240:.:DA.1
.#D..CX(N).E(S$):.N.1..1448.:D..N.N.1:.N
..100.1418.VD..N.N.1:. N.2..(N.2).1434.T
D..M..(N.2).1:MD.CX(M):.1438..D..M..(N.2
):MD.CX(M).CX(M.1):MD.MD.2..D..MD.. D1(M
D)..D...172:. SA,0,4:A$."YOU ENTERED":A$
.A$.D(N):A$.A$." NUMBERS":.112.!E .A$."T
HE MEDIAN OF THIS DISTRIBUTION IS":.112:
..3E..A$.D(MD):.112.<E...822.BE..:.PE...
G.N.2..1.IE...CX(G).CX(G.1)..1456.RE...G
:..XE..:..E..Y.CX(G.1):CX(G.1).CX(G):CX(
G).Y:...E...E(E$)..(E(E$)).E$.E$.".0".PE
...C(A$)..6.1464..E...X.C(A$).6:A$." ".A
$:. X..F...C(E$)..7.1468..F...X.C(E$).7:
E$." ".E$:. X.3F..B$.A$." ".E$.;F..
.B$.AF....\FB.. SA,27,2:."(A-E)^2/E".WFD
.. SA,27,3:."........."..FF..X.1.4..FH..
D(X).0.I$."0":.1484..FJ.I..(D(X)):I$.D(I
).CFL.D.. FRC(D(X)).UFN.D$.D(. D4(D))..F
P..C(D$).6..Y.C(D$).5:D$.D$."0":.Y..GR.D
$.I(D$,C(D$).1)..GT.A$.I$.D$.CGV..C(A$).
10..Y.C(A$).10:A$." ".A$:.Y.WGX.. SA,24,
X.3:.A$.^GZ..X.ZG... SA,27,8:.".........
."..G.....G..:..G..T.1..G... 204,0:Z.0:S
$."":.".";:.198,.:.L.0.L.255.PG...A$:.A$
."".1510..G...A$.G(133).S$."".S$."X":.15
34..H... A$.G(13).FL.9.1532.>H...A$.G(20
).Z..0. Z.Z.1:S$.H(S$,Z):.". .";:.1510.D
H..A.F(A$):.A..32.(A.160.A.127).1510..H.
..(T.1.A.46.DA..DP).DP.Z.1:DA.0:.1530..H
...(T.1.A.45.DA.Z.0)..1530.DH...T.1.(A.4
8.A.57).1510..H...T.2.(A.65.A.90).A..32.
1510..H...Z.L.1510..I...A$;:. 212,0:." .
";:Z.Z.1:S$.S$.A$:.1510.-I...Z.0.1510.JI
..." ":.204,1:.207,0:L.0:..AI... SA,0,23
:.FL.1540..I..A$.". PRESS SPACE TO CONTI
NUE / M FOR MENU"..I..A.C(A$):.A.2...(A.
2).A$.A$." ":.1540.GI...I.1.A.2..I....20
.I);H(A$,I);I(A$,I)..I...".";..I...I..I.
..106..J...Q$."M".Q$."M".CH.2:..1J...(Q$
." ".FL.0).CH.1:..OJ...FL..Q$."T".Q$."T"
.CH.1:..MJ...FL..Q$."D".Q$."D".CH.3:..WJ
...1550.}J..:..J...15,8,15,"R0:HELLO CON
NECT=HELLO CONNECT":.15,ER: 15.IJ...ER..
63..".":...K .A$."HELLO CONNECT":Q$.G(34
):.53281,7:.53280,7:."."..K"..".....LOAD
"Q$A$Q$",8".DK$.."....RUN.":.631,13:.632
,13:.198,2:..K&..214,15:.:." .........
.............................."..K(..I.1
.3:." .
":...K*.." . PUBLISHED ON LOAD
STAR #62 "..L,.." . SUBSCRIPTION
S 1-800-831-2694 ".DL..." . A
SOFTDISK PUBLICATION ".SL0.." .
"..L2.
." ....................................
...".OL4.AU$."STATISTICIAN'S TOOLBOX":.2
14,17:...L6...20.C(AU$).2)".."AU$..M8.AU
$."BY JOHN ABELE (C) 1989":.214,18:..4M
:...20.C(AU$).2)".."AU$".":....
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