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] = Σ i (Σ j Xij)2 ⎟ | N | |
| [AS] = Σ i Σ j (Xij)2 |
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Factor | SA = [A] - [X] | θ A = A - 1 | VA = SA ⎟ θ A | FA = VA ⎟ VE |
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A : number of levels | |||||||
Error | SE = [AS] - [A] | θ E = A (N- 1) | VE = SE ⎟ θ E |
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| N: repeated frequency | ||||||
Total | ST = [AS] - [X] | θ T = 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 |
| frequency. | |||
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| Declaration of one |
| One variable statistic | ||||
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| variable statistic |
| (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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| square of data |
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| K = K + 1 |
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| K ≤ N | Judgment of repeated frequency | ||
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| Σ X (sum of levels) displayed. |
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| Display of Σ | X |
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| Σ X obtained with | |||
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| statistics feature. | ||||
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| Accumulation |
| Square of Σ X accumulated. | ||
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| of (Σ X)2 |
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| S = S + 1 |
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| S ≤ 1 | Repeated frequency corresponding | ||
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| to no. of levels judged. | |||
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Title : VARIANCE |
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Rem INPUT | Rem SUM OF SQUARES | ||||
Print "Input LEVEL | E |
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Input L |
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L | A |
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Print "Input TIMES | Print "SUM OF SQUARES | ||||
Input T |
| Print E |
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T | N |
| Print "ERROR SUM OF SQUARES | ||
0 | W |
| Print M |
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0 | B |
| Wait |
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0 | C |
| Print "TOTAL SUM OF SQUARES | ||
For S, 1, A, 1 | Print P |
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N | dim(L1) | Wait |
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For K, 1, N, 1 | 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 | |||
Print "TIME | Print R | ABOUT ERRORS | |||
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 | |||
NEXT |
| E/Q | V |
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1_Stats L1 | M/R | U |
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Σ x | J |
| Print "VARIANCE | ||
Print "Σ | x= | Print V |
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Print J |
| Print "VARIANCE OF ERRORS |
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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.
Wait |
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W+(Σ | x)2 | W | Wait |
NEXT |
| Rem VARIANCE RATIO | |
Rem CALCULATE | V/U F | ||
B2/A/N | X | Print "VARIANCE RATIO | |
W/N | Y |
| Print F |
C Z |
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| 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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