Analysing with One-way Layout Method
Use the
Calculation |
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Analysis of variance chart of | [X] = (Σ Σ Xij)2 ⎟ AN | ||||
| Sum of squares (S) | Degree of freedom (θ) | Variance (V) | Variance ratio (F) | [A] = Σi (Σj Xij)2 ⎟ N |
| [AS] = Σi Σj (Xij)2 | ||||
Factor | SA = [A] - [X] | θA = A - 1 | VA = SA ⎟ θA | FA = VA ⎟ VE | A : number of levels |
Error | SE = [AS] - [A] | θE = A (N- 1) | VE = SE ⎟ θE |
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| N: repeated frequency | ||||
Total | ST = [AS] - [X] | θT = AN - 1 |
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| X : number of data | |||
| FLOWCHART |
| PROGRAMME LIST(STAT MODE) |
Start
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| LOOP2 |
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| Entry of number of levels |
| Enter no. of levels and repeated | ||||
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| and repeat frequency |
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| frequency. | ||
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| Declaration of one |
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| One variable statistic | |||
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| variable statistic |
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| (Stat X) declared. | ||
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| LOOP1 |
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| Entry of data |
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| Accumulation of data |
| Data and square of data | ||||
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| Accumulation of |
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| squareof data |
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| K = K + 1 |
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| (N+1)>K | Judgment of repeated frequency | ||
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| ΣX (sum of levels) displayed. |
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| Display of ΣX |
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| ΣX obtained with | ||
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| (sum of levels) |
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| statistics feature. | |||
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| Accumulation |
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| Square of ΣX accumulated. | |
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| of (ΣX)2 |
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| S = S + 1 |
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| (A+1)>S | Repeated frequency corresponding | ||
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| to no. of levels judged. | |||
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Title : VARIANCE |
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Rem INPUT | W/N | Y |
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Print "Input LEVEL | C Z |
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Input L | Rem SUM OF SQUARES | |||||||
L | A |
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Print "Input TIMES | M |
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Input T | P |
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T | N |
| Print "SUM OF SQUARES | |||||
0 | W |
| Print E |
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0 | B |
| Print "ERROR SUM OF SQUARES | |||||
0 | C |
| Print M |
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1 | S |
| Wait |
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Label LOOP2 | Print "TOTAL SUM OF SQUARES | |||||||
N | dim(L1) | Print P |
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1 | K |
| Wait |
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Label LOOP1 | Rem DEGREES OF FREEDOM | |||||||
ClrT |
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S | L |
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K | T |
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Print "Input DATA | Print "DEGREES OF FREEDOM | |||||||
Print "LEVEL | Print Q |
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Print L |
| Print "DEGREES OF FREEDOM |
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Print "TIME | Print R |
| ABOUT ERRORS |
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Print T | Wait |
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Input I |
| Print "SUM OF DEGREES OF FREEDOM | ||||||
I | L1(K) | Print D |
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B+I | B | Wait |
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C+I2 | C | Rem VARIANCE | ||||||
K+1 | K | E/Q | V |
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If (N+1)>K Goto LOOP1 | M/R | U |
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1_Stats L1 | Print "VARIANCE | |||||||
Σ |
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N
Calculation of X,Y and Z
Calculation and display
of sum of squares
Calculation and display of degree of freedom
X, Y and Z calculated.
Sum of squares (E, M, P) calculated and displayed.
Sum of degree of freedom (Q, R, D) calculated and displayed.
x | J |
| Print V |
Print "Σx= | Print "VARIANCE OF ERRORS | ||
Print J |
| Print U | |
Wait |
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W+(Σx)2 | W | Rem VARIANCE RATIO | |
S+1 | S |
| V/U F |
If (A+1)>S Goto LOOP2 | Print "VARIANCE RATIO | ||
Rem CALCULATE | Print F | ||
B2/A/N | X | End |
Calculation and display
of variance
Calculation and display
of variance ratio
Variance (V, U) calculated and displayed.
Variance ratio (F) calculated and displayed.
End
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