Top 10k strings from Statistische Analyse (19xx)(-).z80 in <root> / bin / z80 / software / Sinclair Spectrum Collection TOSEC.exe / Sinclair ZX Spectrum - Utilities & Educational / Sinclair ZX Spectrum - Utilities & Educational - [Z80] (TOSEC-v2007-01-01) /
Back to the directory listing
3 "n:";n;" ";"x:";X(n),"y:";Y(n)
2 ;"this may take some time!"
2 ;"WOULD YOU LIKE TO ALTER
2 ;"Please wait."''
2 ;"PLEASE WAIT."'':
2 ;"F-TEST:";
2 /(u2*A))*(t3+t4-(t1^2
2 "Nearly finished."
2 "DO YOU WANT TO ALTER ANY
2 FOR THE CHANGE (n):":
2 CORRELATION BETWEEN X AND Y."''
1 v2=s4/q*100
1 v1=s3/p*100
1 t5=t5+X(h)*Y(h)
1 t4=t4+Y(h)^2
1 t3=t3+X(h)^2
1 t2=t2+Y(h):
1 t1=t1+X(h):
1 scaley=scaley+1
1 scalex=scalex+1
1 s2=s2+(Y(i)-q)*(Y(i)-q)
1 s1=s1+(X(i)-p)*(X(i)-p):
1 miny=miny+divy
1 miny=C(A):
1 minx=minx+divx
1 minx=B(A):
1 highy=highy-18
1 highx=highx-18
1 divy=(maxy-miny)/15
1 divx=(maxx-minx)/15
1 atistik F[
1 U=(t5-(t1*t2/(h-1
1 S(B)=S(B)+P9:
1 R9=miny+divy
1 R9=minx+divx
1 R(B)=R(B)+P9:
1 M2=(C(w)+C(v))/2
1 M1=(B(w)+B(v))/2
1 M(K)=M(K+1
1 M(B)=M(B)+P9
1 L(K)=L(K+1
1 L(B)=L(B)+P9
1 D=(t5-(t1*t2/(h-1
1 C(ll)=C(ii):
1 B(ll)=B(ii):
1 ;''"THE GRAPH ROUTINE WILL ALLOW YOUTO NAME THE TWO AXES, AND
1 ;"n:";n;" ";"x:";X(n),"y:";Y(n)
1 ;"Would you like a bar chart of the x or y data?
1 ;"WOULD YOU LIKE INSTRUCTIONS? (y/n):":
1 ;"WHICH TYPE OF ANALYSIS
1 ;"The Value of t=";T''
1 ;"TYPE IN YOUR X AND Y VALUES
1 ;"TYPE IN '6' FOR A LINE GRAPH":
1 ;"TYPE IN '4' FOR REGRESSION AND CORRELATION":
1 ;"TYPE IN '1' FOR MEAN,SD,CV(%), SEM & F-TEST:":
1 ;"TYPE IN '0' TO EXIT:"
1 ;"THIS WILL BE STORED IN TWO
1 ;"THIS VALUE IS BOTH POSITIVE (+) AND NEGATIVE (-). AT THE 95% CONFIDENCE LIMIT LEVEL 95.4% OF ALL VALUES SHOULD LIE WITHIN +2 OR -2 SD FROM THE MEAN. SO ANY VALUE OUTSIDE THESE LIMITS MUST BE CONSIDERED STATISTICALLY
1 ;"THIS USES THE P VALUE (WHICH MAYBE EXPRESSED AS A %) TO SEE IF THERE IS ANY STATISTICAL
1 ;"THIS ROUTINE ALLOWS YOU TO
1 ;"THIS PROGRAM ALLOWS YOU TO INPUTTWO SETS OF DATA OF ANY LENGTH FOR A 48K SPECTRUM. THE PROGRAM CAN BE MODIFIED TO RUN ON A 16K SPECTRUM IF ALL NON-ESSENTIAL LINES, REM STATEMENTS AND
1 ;"THIS IS THE MOST COMMONLY
1 ;"THIS IS LIMITED BY THE SCREEN SIZE FOR THE SPECTRUM. IT WILL ONLY ALLOW (x,y)<(26,20) TO BE PRINTED, OR MEANS<11. IT ALSO ASSUMES POSITIVE LINEAR
1 ;"THIS IS ANOTHER EXPRESSION OF THE ASSOCIATION BETWEEN THE TWO SETS OF DATA. COMPLETE
1 ;"THIS IS AN ESTIMATE OF THE
1 ;"THIS IS AN ESTIMATE OF HOW CLOSETHE MEAN OF YOUR SAMPLE IS TO THE MEAN OF THE POPULATION FROM WHICH IT WAS TAKEN. HENCE THIS VALUE MAY NOT BE RELEVANT FOR ALL SETS OF DATA.
1 ;"THIS IS A TEST SOMETIMES USED TOCOMPARE THE PRECISIONS OF TWO SETS OF DATA. THE F VALUE IS CALCULATED FROM THE VARIANCE RATIO (VARIANCE=SD SQUARED) BY: F=(LARGER VARIANCE)/(SMALLER VARIANCE). THIS VALUE IS THE LOOKED UP IN F-TABLES FOR TWO DF(DEGREES OF FREEDOM) VALUES
1 ;"THIS IS A PERCENTAGE (%) VALUE OFTERN USED TO EXPRESS THE
1 ;"THIS GIVES YOU THE MEANS
1 ;"THIS COULD BE AVOIDED IF
1 ;"THESE CHOICES GIVE VARIOUS
1 ;"THESE ARE A) STANDARD DEVIATION:":
1 ;"THERE ARE MANY TYPES OF t-TEST ANALYSIS. THE ONE USED HERE IS FOR TWO SAMPLES OF EQUAL LENGTH.THE TEST IS USED TO DETERMINE WHETHER THERE IS ANY SIGNIFICANTDIFFERENCE BETWEEN THE TWO SETS OF DATA. THE t VALUE IS
1 ;"THE THIRD CHOICE (AND FINAL PARTOF DESCRIPTIVE STATISTICS) WILL USE A SORTING ROUTINE TO RANK THE SPARE ARRAY DATA INTO
1 ;"THE SECOND CHOICE ON THE MENU ALLOWS YOU TO LIST THE DATA. THIS CAN BE COPIED BY PRESSING 'c' INSTEAD OF ENTER, SO ANY TIME A HARD COPY OF THE
1 ;"THE RAW DATA:";
1 ;"THE MODE:";
1 ;"THE MAXIMUM AND MINIMUM DATA VALUES. THUS YOU MUST GO THROUGHCHOICE NUMBER 3 (MEDIANS) BEFOREUSING THE BAR CHART. THE DATA ISSORTED INTO AN ARRAY ACCORDING TO ITS PARTICULAR VALUE. IF THE COLUMN BECOMES TOO LARGE (>17) THEN THE COMPUTER WILL SCALE DOWN ALL THE VALUES AS REQUIRED.THE USE OF THIS IS THAT IT WILL SHOW YOU IF THE DATA IS NORMALLYDISTRIBUTED THIS IS REQUIRED BY MANY STATS TESTS."
1 ;"THE LINE GRAPH:";
1 ;"THE COMPUTER IS RANKING THE DATA"
1 ;"THE COMPUTER IS CALCULATING
1 ;"STATISTISCHE ANALYSE"
1 ;"STATISTICAL ANALYSIS:";
1 ;"STATISTICAL ANALYSIS OF DATA.";
1 ;"SIGNIFICANCE TESTING:";
1 ;"REGRESSION AND CORRELATION:";
1 ;"REGRESSION ANALYSIS:";
1 ;"RANKED DATAS:";
1 ;"PRINT DATA:";
1 ;"POSITIVELY CORRELATED DATA,
1 ;"O.K. Bye!":
1 ;"NOTE: IF YOU MAKE A MISTAKE
1 ;"NOTE: IF THE t VALUE EXCEEDS THETABULATED VALUES THEN THE
1 ;"NEW DATA VALUES:";
1 ;"Mean values are too karge":
1 ;"MIN, MAX, MEDIANS:";
1 ;"MEDIANS & DATA SORTING:";
1 ;"Look up your t value in t-tablesfor the above DF, and find the probability value (P)
1 ;"INSTRUCTIONS ON STATISTICS:";
1 ;"Have you been via the medians routine? (y/n) This is because the maximum and minimum values are needed for the barchart."'':
1 ;"Have you been via 3) medians routine? (y/n):":
1 ;"HERE b IS CALCULATED AND USED TOFIND THE VALUE OF c (BY c=C-b*B)THE LINE IS THEN DRAWN FROM c THROUGH (B,C) TO THE UPPER
1 ;"For DF=",u2''
1 ;"FOR y=b*x+c"'':
1 ;"Data is too large":
1 ;"DESCRIPTIVE STATISTIKS:";
1 ;"DESCRIPTIVE STATISTICS:";
1 ;"DEGREES OF FREEDOM (DF) FOR THE DATA. FROM THESE, STUDENT'S
1 ;"CORRELATION COEFFICIENT:";
1 ;"COR. COEFF', r=";U''
1 ;"CHANGE AN x VALUE:";
1 ;"CHANGE A y VALUE:";
1 ;"C) STANDARD ERROR OF THE MEAN (SEM):";
1 ;"C) GRAPHS:";
1 ;"Bar chart.";
1 ;"BAR CHART.";
1 ;"B) STATISTICAL ANALYSIS:";
1 ;"B) COEFFICIENT OF VARIATION (CV)";
1 ;"A line graph of x,y:";
1 ;"A bar chart of y.";
1 ;"A bar chart of x.";
1 ;"A TEST TO COMPARE THE
1 ;"2-Sample t-Test:";
1 ;"2-SAMPLE t-TEST:";
1 ;" "'':
1 0.001 (OR .1%) MEANS THAT THE DATA ARE STATISTICALLY THE SAME.
1 /(t3-(t1^2
1 )))*(t4-(t2^2
1 (S(B)/scaley+.5
1 (R(B)/scalex+.5
1 ((t3-(t1^2
1 '"A) DESCRIPTIVE STATISTICS:";
1 "r=0 this indicates that x and y are totally uncorrelated."
1 "n=";A,"","(B,C)=";"(";p;",";q;")"'':
1 "n:";l;" ";"x:";B(l),"y:";C(l)
1 "correlation coefficient (r)<.75 indicating a strong positive relationship between x and y."
1 "b=";D,"","c=";E'':
1 "b AND r ARE >.75 INDICATING A STRONG POSITIVE LINEAR
1 "b AND r ARE <.-75 INDICATING A STRONG NEGATIVE LINEAR
1 "Would you like to run
1 "WOULD YOU LIKE TO CHANGE
1 "Type in the name of the y-axis":
1 "Type in the name of the x-axis":
1 "TYPE IN YOUR TOTAL NUMBER OF DATA PAIRS (n):":
1 "TYPE IN '7' FOR A BAR CHART"'':
1 "TYPE IN '5' FOR 2-SAMPLE t-TEST"''
1 "TYPE IN '3' FOR MIN,MAX & MEDIAN"''
1 "TYPE IN '2' TO PRINT THE DATA":
1 "THIS VALUE CAN BE LOOKED UP IN F-TABLES TO FIND A PROBABILITY (P) VALUE FOR SIGNIFICANCE
1 "THE F VALUE=";H3:
1 "SD of y=";s4:
1 "S.E.M for y=";s6''
1 "S.E.M for x=";s5''
1 "S.D of x=";s3:
1 "PRESS r TO READ THESE
1 "PRESS ENTER TO CONTINUE:";W$
1 "PARTS. IN NORMALLY DISTRIBUTED DATA IT WOULD BE EQUAL, OR VERY CLOSE TO THE MEAN VALUE. THUS DIFFERENCES BETWEEN THE MEAN ANDMEDIAN SHOWS LEFT OR RIGHT SKEW IN THE DATA."
1 "N=";A,"","(B,C)=";"(";p;",";q;")":
1 "MINIMUM VALUE OF y is ";C(A):
1 "MINIMUM VALUE OF x is ";B(A):
1 "MEDIAN OF y=";M2:
1 "MEDIAN OF x=";M1:
1 "MEDIAN OF Y APPROX' EQUAL TO MEAN OF Y INDICATING NORMALLY DISTRIBUTED Y DATA."''
1 "MEDIAN OF X APPROX' EQUAL TO MEAN OF X INDICATING NORMALLY DISTRIBUTED X DATA."''
1 "MAXIMUM VALUE OF y is ";C(1
1 "MAXIMUM VALUE OF x is ";B(1
1 "Input the name of the vertical (y) axis:":
1 "Input the name of the vertical (y) axic:":
1 "Input the name of the horizontal(x) axis:":
1 "Input the name of the horizontal (x) axis:":
1 "IS TOTALLY LINEAR THEN b WILL BE+1 OR -1 DEPENDING ON THE SLOPE OF THE LINE. STATISTICALLY
1 "INUT THE DATA ROW NUMBER
1 "INPUT THE y VALUE YOU WANT
1 "INPUT THE x VALUE YOU WANT
1 "INPUT THE DATA ROW NUMBER
1 "FOR DF1 & DF2 OF:";h4:
1 "DO YOU WANT TO ALTER ANY MORE y VALUES? (y/n):":
1 "DO YOU WANT TO ALTER ANY MORE x VALUES? (y/n):":
1 "CV(%) of y=";v2:
1 "CV(%) of x=";v1:
1 "Ax=";t1,"Ax*X=";t3,"Ay=";t2,"Ay*y=";t4,"Ax*y=";t5
1 "Are you sure? (y/n):":
1 y VALUES? (y/n):":
1 x VALUES? (y/n):":
1 x OR y VALUES? (x/y):":
1 the program again? (y/n):":
1 t-TABLES CAN BE USED TO FIND THEPROBABILITY VALUE (P) FOR
1 or press ENTER to return:"'':
1 for significance testing."''
1 WRITE IT DOWN AND YOU WILL
1 WOULD YOU LIKE?"'
1 Type in x or y
1 THE STATISTICAL VALUES."''
1 THE MAIN PROGRAM:":
1 THE CALCULATION IS SEM=SD/SQR(n)SO AS SAMPLE SIZE INCREASES, THE SEM SHOULD DECREASE AS IT APPROACHES THE 'TRUE' MEAN OF THE POPULATION. (WHERE SEM=0)"
1 TESTING."
1 SPECIFY THEIR MAXIMUM LENGHTS. THUS THE ROUTINE IS VERY USEFULFOR VISUALISING THE ACTUAL
1 SIGNIFICANCE TESTING"
1 SIGNIFICANCE (IF ANY) BETWEEN THE TWO PRECISIONS. SEE ALSO THENOTES ON THE t-TEST."
1 SEPERATE ARRAYS, ONE FOR
1 RELATIONSHIPS BETWEEN TWO SETS OF DATA. IT CAN BE COPIED TO THE PRINTER BY PRESSING 'c'."
1 REGRESSION IS USED TO DRAW A BEST-FIT LINE THROUGH SPREAD-OUTDATA."
1 REGRESSION ANALYSIS ARE USUALLY USED IN CONJUNCTION AND ARE
1 PRINTING AND ANALYSIS, THE OTHERFOR RANKING (USED IN MEDIANS). YOU WILL THEN BE ABLE TO ALTER ANY OF THE DATA THAT MAY HAVE BEEN ENTERED INCORRECTLY. THE STATISTICAL TESTS ARE THEN
1 PRECISION."
1 PRECISION OF X WITH THAT OF Y.":
1 PRECISION OF THE DATA.
1 POINTS. HOWEVER AS MENTIONED "
1 PERFORMED AND A MENU OF CHOICES PRINTED."
1 OFTERN DISPLAYED ON THE GRAPHS OF DATA."
1 OCCURING VALUE IN ANY SET OF DATA. IN THIS PROGRAM IT CAN EASILY BE SEEN IN THE LIST OF RANKED DATA. IN NORMALLY
1 NOTE: THE LINE ONLY WORKS FOR "
1 NORMALLY DISTRIBUTED DATA."
1 NECESSARY BY THE DELETION OF THERELEVANT LINES. IF A GRAPH OF HIGH DATA IS NEEDED, YOU WOULD HAVE TO RE-ENTER THE VALUES
1 LIMITS OF THE DATA. THIS LINE DRAWING METHOD IS THE ONE USED ON THE PLOT A GRAPH CHOICE.
1 IT RELATES BOTH THE SD AND MEAN BY: CV=SD/MEAN*100%. A LOW CV INDICATES GOOD PRECISION, AND A HIGH VALUE INDICATES POOR
1 INSTRUCTIONS."
1 INSTRUCTIONS OR THE ANALYSIS IS REQUIRED JUST PRESS 'c'."
1 INSTRUCTIONS ARE LEFT OUT OF THELISTING. NOTE: BOTH SETS OF DATAMUST BE OF EQAL LENGT, THE TOTALNUMBER OF DATA PAIRS BEING
1 INSTRUCTIONS AGAIN, c TO COPY, AND 'ENTER' TO RETURN TO
1 IF THE DATA IS NEGATIVELY
1 FOR THIS ROW (y):":
1 FOR THIS ROW (x):":
1 ENTERED AS n"
1 DIVISION FACTOR CALCULATED FROM "
1 DISTRIBUTED DATA THE MODE, MEAN AND MEDIAN WOULD ALL BE
1 DIFFERENT FROM THE MEAN OF
1 DIFFERENT FROM EACH OTHER."
1 DIFFERENCE IS SIGNIFICANT
1 DIFFERENCE BETWEEN THE TWO SETS OF DATA FOR EXAMPLE P
1 DESCENDING ORDER (THIS MAY TAKE SOME TIME AS IT IS IN BASIC AND NOT MACHINE CODE!). ONCE THE DATA HAS BEEN RANKED IT WILL BE LISTED AND THE MAXIMUM, MINIMUM AND MEDIAN VALUES FOR x & y WILLBE DISPLAYED. THE MEDIAN IS A VALUE WHICH DIVIDES THE NUMBER OF DESERVATIONS INTO TWO EQUAL "
1 CORRELATION WILL GIVE AN r VALUEOF +1 OR -1 DEPENDING ON THE SLOPE OF THE LINE. IF THE DATA IS TOTALLY UNCORRELATED THEN r WILL BE 0. CORRELATION AND
1 CORRELATION BETWEEN x & y WHEN IT DEAWS A LINE THROUGH THE
1 CORRELATED THE LINE WILL RUN OFFTHE SCREEN. THIS CAN BE AVOIDED IF PROGRAM LINES 1750 & 1760 AREDELETED. SEE ALSO GRAPH
1 CHOOSE A BAR CHART OF x or y VALUES. AGAIN IT IS LIMITED BY THE SCREEN SIZE OF THE SPECTRUM THE VALUES ARE SORTED INTO 15 DOUBLE-WIDTH COLUMNS BY A
1 CALCULATIONS ON THE DATA WHICH WOULD BE VERY TIME CONSUMING TO DO MANUALLY. THEY ARE REGRESION,CORRELATION AND t-TEST."
1 CALCULATED ALONG WITH THE
1 BE ABLE TO ALTER IT LATER."
1 ASSOCIATION OF THE x DATA WITH THE y DATA. LINEAR REGRESSION ISUSED, WHERE IF THE ASSOCIATION IS A STRAIGHT LINE THEN IT WILLHAVE THE FORMULAE y=b*x+c WHERE c=INTERCEPT ON THE y-AXIS AND b=REGRESSION COEFFICIENT
1 ANY FURTHER DATA? (y/n):":
1 ANY DATA? (y/n):":
1 AFTER DIVISION BY A SUITABLE FACTOR TO DECREASE THEIR SIZE."
1 (ie: NOT LIKELY TO BE DUE TO CHANCE ALONE.)"
1 (IN THIS CASE BOTH VALUES ARE EQUAL AND ONLY ONE IS PRINTED). FROM THE TABLES A PROBABILITY VALUE (P) IS FOUND AND THIS CAN BE USED IN ASSESSING THE
1 (GRADIENT). IF THE ASSOCIATION "
1 (ENTER EACH ONE):"''
1 (AVERAGES) OF THE TWO SETS OF DATA. IT ALSO GIVES YOU SOME MEASURES OF THE DISTRIBUTION OF VALUES ABOUT THE MEANS.":
1 (APPROXIMATELY) EQUAL. ANY LEFT OR RIGHT SKEW IN THE DATA WOULD MAKE THEM SIGNIFICANTLY