Schmidt and Launsby · 2000

Understanding Industrial Designed Experiments

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Factorial gives the book's answers, with a few differences. Where they differ, this page says why: some are misprints in the book, and for some the reason is not known yet.

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Examples

Each example, and how closely Factorial gives its answers.

Pages 1 to 99

Misprints

Misprints found in the book, by page. Each shows what the book prints and what its own data give.

Mean of readings: run 5p. 1-47
Book 17.98Data 17.97
The three readings, 17.35, 18.60 and 17.97, average 17.973; the book prints 17.98. Both of run 5's printed values would follow from a first reading of 17.37 (average 17.98, standard deviation 0.615), which suggests a misprint of one digit, but the page prints 17.35
Std dev of readings: run 5p. 1-47
Book .62Data 0.625007
The standard deviation of the three readings is 0.6250; the book prints .62. Both of run 5's printed values would follow from a first reading of 17.37 (average 17.98, standard deviation 0.615), which suggests a misprint of one digit, but the page prints 17.35
Mean of readings: run 1p. 2-37
Book 535.094Data 535.029
The four readings of run 1 average 535.030; the book prints 535.094 and works with it in Table 2.20
Std dev of readings: run 5p. 2-37
Book 88.87Data 89.87
The four readings of run 5 have a standard deviation of 89.87, which Table 2.20 works with; Table 2.19 prints 88.87, a misprint of one digit
Mean of readings: run 1p. 2-44
Book 103.00Data 103.05
The four readings average 103.050; the book prints 103.00. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings

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Mean of readings: run 3p. 2-44
Book 104.00Data 104.12
The four readings average 104.125; the book prints 104.00. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 4p. 2-44
Book 101.00Data 101.05
The four readings average 101.050; the book prints 101.00. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 5p. 2-44
Book 103.30Data 103.33
The four readings average 103.325; the book prints 103.30. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 8p. 2-44
Book 103.10Data 103.08
The four readings average 103.075; the book prints 103.10. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 9p. 2-44
Book 103.10Data 103.15
The four readings average 103.150; the book prints 103.10. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 11p. 2-44
Book 103.80Data 103.83
The four readings average 103.825; the book prints 103.80. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 13p. 2-44
Book 99.80Data 99.78
The four readings average 99.775; the book prints 99.80. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 15p. 2-44
Book 102.10Data 102.12
The four readings average 102.125; the book prints 102.10. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 16p. 2-44
Book 103.20Data 103.25
The four readings average 103.250; the book prints 103.20. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 17p. 2-44
Book 102.90Data 102.88
The four readings average 102.875; the book prints 102.90. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean of readings: run 18p. 2-44
Book 101.00Data 101.03
The four readings average 101.025; the book prints 101.00. Twelve of Table 2.22's eighteen ȳ differ from the averages of their printed readings, by up to 0.125, while every s agrees with its readings and Table 2.23 averages the readings
Mean: sp. 2-44
Book 0.433Data 0.443
The eighteen standard deviations average 0.443, whether as printed or from the readings; the book prints 0.433
Residual std errorp. 4-41
Book .0436Data 0.435889
Printed .0436; the square root of the residual mean square, .190, is .436, so the printed value has lost a digit
Tolerance: x1²p. 4-42
Book .0006840Data 0.00110192
The book prints .0006840, the next row's tolerance (x1²·x2); x1²'s is .0011019, the same as x1's
Residual std errorp. 4-42
Book .0143Data 0.142853
Printed .0143; the square root of the residual mean square, .020, is .143, so the printed value has lost a digit
Coefficient: Dp. 5-23
Book -0.036Data 0.036
The coefficient of D for ln s is +0.036 (ln s averages .504 at D = -1 and .576 at D = +1); the book prints -0.036
Std dev of readings: run 2p. 5-25
Book 0.225Data 0.255
The three readings have a standard deviation of 0.255, which the averages of s at each level use; the book prints 0.225
Std dev of readings: run 4p. 5-25
Book 1.190Data 0.190
The three readings have a standard deviation of 0.190, which the averages of s at each level use; the book prints 1.190
Ln variance ratio: B·Cp. 5-25
Book -.150Data 0.140538
The averages of s are .1305 at BC = -1 and .140 at +1, a ratio whose logarithm is positive (2 ln(.140/.130) = .148 as the book rounds them); the book prints -.150
Coefficient: Ap. 5-31
Book 2.591Data 2.587
The fitted values and residuals of Table 5.16, and the t values of Table 5.15, follow the data's coefficients, 2.587, 6.602 and 5.946; the printed coefficients do not
Coefficient: Bp. 5-31
Book 6.606Data 6.602
The fitted values and residuals of Table 5.16, and the t values of Table 5.15, follow the data's coefficients, 2.587, 6.602 and 5.946; the printed coefficients do not
Coefficient: A·Bp. 5-31
Book 5.941Data 5.946
The fitted values and residuals of Table 5.16, and the t values of Table 5.15, follow the data's coefficients, 2.587, 6.602 and 5.946; the printed coefficients do not
Coefficient: Ap. 5-30
Book 2.591Data 2.587
The fitted values and residuals of Table 5.16, and the t values of Table 5.15, follow the data's coefficients, 2.587, 6.602 and 5.946; the printed coefficients do not
Coefficient: Bp. 5-30
Book 6.606Data 6.602
The fitted values and residuals of Table 5.16, and the t values of Table 5.15, follow the data's coefficients, 2.587, 6.602 and 5.946; the printed coefficients do not
Coefficient: A·Bp. 5-30
Book 5.941Data 5.946
The fitted values and residuals of Table 5.16, and the t values of Table 5.15, follow the data's coefficients, 2.587, 6.602 and 5.946; the printed coefficients do not
Ss residualp. 5-31
Book 185.032Data 185.082
The residual sum of squares is 185.082, which its mean square 15.423 (185.082/12) follows; the book prints 185.032
Mean of wafer ranges: run 4p. 5-39
Book 3.000Data 3.167
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Mean: Y: AB (-)p. 5-39
Book 201.9Data 199.8
The book's averages for AB are in swapped rows: 201.9 and 5.833 are the averages at AB = +1, 199.8 and 6.292 at AB = -1; its Δ/2 are right
Mean: Y: AB (+)p. 5-39
Book 199.8Data 201.9
The book's averages for AB are in swapped rows: 201.9 and 5.833 are the averages at AB = +1, 199.8 and 6.292 at AB = -1; its Δ/2 are right
Mean: R: A (+)p. 5-39
Book 5.958Data 6.042
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Coefficient: R: Ap. 5-39
Book -.104Data -0.0625
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Mean: R: B (+)p. 5-39
Book 3.333Data 3.417
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Coefficient: R: Bp. 5-39
Book -2.73Data -2.69
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Mean: R: AB (-)p. 5-39
Book 5.833Data 6.292
The book's averages for AB are in swapped rows: 201.9 and 5.833 are the averages at AB = +1, 199.8 and 6.292 at AB = -1; its Δ/2 are right
Mean: R: AB (+)p. 5-39
Book 6.292Data 5.917
The book's averages for AB are in swapped rows: 201.9 and 5.833 are the averages at AB = +1, 199.8 and 6.292 at AB = -1; its Δ/2 are right
Coefficient: R: A·Bp. 5-39
Book -.229Data -0.1875
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Coefficient: R: Interceptp. 5-38
Book 6.062Data 6.104
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Coefficient: R: Bp. 5-38
Book -2.73Data -2.69
The book's R̄ for run 4 is 3.000, but its twelve printed ranges sum to 38, an average of 3.167; the averages that include run 4 follow the 3.000
Prediction: run 17: time 8, temp 32, nickel 14p. 5-64
Book 323.8Data 326.8
342.0 - 15.2 is 326.8; the book prints 323.8
Coefficient: Interceptp. 5-57
Book 314.786500Data 314.688000
The intercept is 314.6875; the book prints 314.786500, two digits exchanged
P value: TEp. 5-62
Book 0.0016Data 0.0113
The significance column repeats Table 5.38's (0.0016, 0.0802, 0.0656); the t values printed beside them give 0.0113
P value: T²p. 5-62
Book 0.0802Data 0.0000
The significance column repeats Table 5.38's (0.0016, 0.0802, 0.0656); the t values printed beside them give 6e-7
P value: N²p. 5-62
Book 0.0656Data 0.0683
The significance column repeats Table 5.38's (0.0016, 0.0802, 0.0656); the t values printed beside them give 0.068
Mean: F (+)p. 6-18
Book 255Data 254
The sixteen readings average 254.0, which rounds to 254; the book prints 255
Prediction: sn_smaller at S = +1, F = -1p. 6-18
Book 41.57Data -41.57
-45.52 + 1.35 + 2.60 is -41.57; the book drops the minus sign
Mean: R-P (+)p. 8-84
Book 1.477Data 1.471
Runs 1, 2, 7 and 8 average 1.471; with 1.705 at R-P = - the two must sum to twice the grand mean, 3.176, which 1.477 does not
Mean of readings: run 5p. 8-98
Book 2946.91Data 2996.91
The two readings average 2996.91; the book's 2946.91, 50 lower, is the value its averages, prediction and deviation use
Predicted: run 14p. 8-98
Book 4863.01Data 4836.01
The book's equation [8] gives 4836.01, from which the printed deviation of 15.05% follows; the printed 4863.01 has two digits exchanged
Deviation: run 16p. 8-98
Book -33.13Data -32.87
(3857.92 - 5125.97)/3857.92 x 100 is -32.87; the book prints -33.13
Mean: ln s: A (+)p. 8-105
Book 37.731Data 37.737
The printed Ln(S) of runs 3 and 4, 37.593 and 37.881, average 37.737, as printed for C (+); the book prints 37.731
Coefficient: Ap. 8-106
Book 0.63Data 0.69
The coefficient of A is 0.6925, half the effect 1.39; the equation printed beside the vector has 0.69
Mean: x̄: A (low)p. 8-158
Book 337Data 315
Table 1 as printed gives 314.7. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 336.9, which the book may have cut to 337
Mean: x̄: A (mid)p. 8-158
Book 339Data 334
Table 1 as printed gives 333.6. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 339.6, which the book may have cut to 339
Mean: x̄: B (low)p. 8-158
Book 363Data 357
Table 1 as printed gives 357.3. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 363.3
Mean: x̄: B (mid)p. 8-158
Book 265Data 244
Table 1 as printed gives 243.7. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 265.7, which the book may have cut to 265
Mean: x̄: C (low)p. 8-158
Book 333Data 327
Table 1 as printed gives 327.4. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 333.4
Mean: x̄: C (mid)p. 8-158
Book 276Data 254
Table 1 as printed gives 253.6. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 275.6
Mean: x̄: E (mid)p. 8-158
Book 331Data 303
Table 1 as printed gives 303.1. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 331.1
Mean: x̄: F (mid)p. 8-158
Book 290Data 268
Table 1 as printed gives 268.4. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 290.4
Mean: x̄: F (high)p. 8-158
Book 418Data 412
Table 1 as printed gives 411.9. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 417.9
Mean: x̄: G (mid)p. 8-158
Book 288Data 266
Table 1 as printed gives 265.6. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 287.6
Mean: x̄: G (high)p. 8-158
Book 540Data 534
Table 1 as printed gives 534.4. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 540.4
Mean: x̄: H (low)p. 8-158
Book 417Data 399
Table 1 as printed gives 398.9. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 417.5, which the book may have cut to 417
Mean: ln s: A (low)p. 8-158
Book 5.48Data 5.27
Table 1 as printed gives 5.270. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.48
Mean: ln s: B (mid)p. 8-158
Book 5.26Data 5.05
Table 1 as printed gives 5.052. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.26
Mean: ln s: C (mid)p. 8-158
Book 5.27Data 5.05
Table 1 as printed gives 5.052. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.264, which rounds to 5.26
Mean: ln s: E (mid)p. 8-158
Book 5.41Data 5.20
Table 1 as printed gives 5.196. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.404, which rounds to 5.40
Mean: ln s: F (mid)p. 8-158
Book 5.31Data 5.10
Table 1 as printed gives 5.103. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.315, which rounds to 5.32
Mean: ln s: G (mid)p. 8-158
Book 5.75Data 5.54
Table 1 as printed gives 5.541. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.75
Mean: ln s: H (low)p. 8-158
Book 5.56Data 5.43
Table 1 as printed gives 5.426. Most of Tables 2 and 3 follow if run 2's X3 is read as 681 (printed 285) and run 4's X1 as 149 (printed 41), which may be misprints; with those readings it is 5.56
Anova sum sq: Ap. 8-207
Book 0.0025Data 0.0045
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's A is 0.00451
Coefficient: Ap. 8-207
Book 0.013Data -0.017
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed half effect; in Yates order the library's A is -0.0168
Anova mean sq: Ap. 8-207
Book 0.0025Data 0.0045
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed mean square; in Yates order the library's A is 0.00451
Anova f: Ap. 8-207
Book 0.608Data 1.083
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's A is 1.083
Anova sum sq: Bp. 8-207
Book 0.0163Data 0.0021
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's B is 0.00214
Coefficient: Bp. 8-207
Book 0.032Data -0.012
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed half effect; in Yates order the library's B is -0.0116
Anova mean sq: Bp. 8-207
Book 0.0163Data 0.0021
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed mean square; in Yates order the library's B is 0.00214
Anova f: Bp. 8-207
Book 3.904Data 0.513
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's B is 0.513
Anova sum sq: A·Bp. 8-207
Book 0.0188Data 0.0355
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's A·B is 0.0355
Coefficient: A·Bp. 8-207
Book 0.034Data 0.047
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed half effect; in Yates order the library's A·B is 0.0471
Anova mean sq: A·Bp. 8-207
Book 0.0188Data 0.0355
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed mean square; in Yates order the library's A·B is 0.0355
Anova f: A·Bp. 8-207
Book 4.513Data 8.519
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's A·B is 8.519
Anova sum sq: A·Cp. 8-207
Book 0.0002Data 0.0173
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's A·C is 0.0173
Coefficient: A·Cp. 8-207
Book 0.004Data 0.033
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed half effect; in Yates order the library's A·C is 0.0329
Anova mean sq: A·Cp. 8-207
Book 0.0002Data 0.0173
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed mean square; in Yates order the library's A·C is 0.0173
Anova f: A·Cp. 8-207
Book 0.048Data 4.159
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's A·C is 4.159
Anova sum sq: B·Cp. 8-207
Book 0.0051Data 0.0001
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's B·C is 0.000101
Coefficient: B·Cp. 8-207
Book -0.018Data -0.003
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed half effect; in Yates order the library's B·C is -0.00251
Anova mean sq: B·Cp. 8-207
Book 0.0051Data 0.0001
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed mean square; in Yates order the library's B·C is 0.000101
Anova f: B·Cp. 8-207
Book 1.219Data 0.024
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's B·C is 0.0241
Anova sum sq: A·B·Cp. 8-207
Book 0.0355Data 0.0188
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's A·B·C is 0.0188
Coefficient: A·B·Cp. 8-207
Book -0.047Data -0.034
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed half effect; in Yates order the library's A·B·C is -0.0343
Anova mean sq: A·B·Cp. 8-207
Book 0.0355Data 0.0188
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed mean square; in Yates order the library's A·B·C is 0.0188
Anova f: A·B·Cp. 8-207
Book 8.518Data 4.514
The book runs Yates's algorithm on the run totals in run-number order (ab, a, b, (1), bc, abc, c, ac) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's A·B·C is 4.514
Anova sum sq: Ap. 8-209
Book 0.0126Data 0.0000
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's A is 0.0000028
Coefficient: Ap. 8-209
Book 0.040Data -0.001
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed half effect; in Yates order the library's A is -0.00059
Anova mean sq: Ap. 8-209
Book 0.0126Data 0.0000
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed mean square; in Yates order the library's A is 0.0000028
Anova f: Ap. 8-209
Book 12.651Data 0.003
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's A is 0.0028
Anova sum sq: Bp. 8-209
Book 0.0000Data 0.0064
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's B is 0.00639
Coefficient: Bp. 8-209
Book -0.001Data -0.028
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed half effect; in Yates order the library's B is -0.0283
Anova mean sq: Bp. 8-209
Book 0.0000Data 0.0064
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed mean square; in Yates order the library's B is 0.00639
Anova f: Bp. 8-209
Book 0.003Data 6.438
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's B is 6.438
Anova sum sq: A·Bp. 8-209
Book 0.0064Data 0.0126
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed sum of squares; in Yates order the library's A·B is 0.0126
Coefficient: A·Bp. 8-209
Book -0.028Data 0.040
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed half effect; in Yates order the library's A·B is 0.0396
Anova mean sq: A·Bp. 8-209
Book 0.0064Data 0.0126
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed mean square; in Yates order the library's A·B is 0.0126
Anova f: A·Bp. 8-209
Book 6.440Data 12.648
The book runs Yates's algorithm on the run totals in run-number order (b, (1), a, ab) as though they were in Yates order, which gives the printed F ratio; in Yates order the library's A·B is 12.648
P value: C·Dp. 8-224
Book .0377Data 0.376794
The two-sided p-value is 0.377; the table prints .0377, a misplaced decimal point
Coefficient: over: L1²p. 8-246
Book -0.189Data 0.189
The coefficient is +0.1887; the printed model has lost its sign
Coefficient: over_s: R1·C2p. 8-246
Book 0.008Data -0.008
The coefficient is -0.0084; the printed model has lost its sign
Prediction: YB at the centrep. 8-256
Book -18.9Data -21.4
The four corner runs average -21.375; -18.9 would follow if the third corner's -27.5 were -17.5, which may be a misprint
Anova sum sq: Ap. 8-274
Book 210578Data 6
Table 1 gives 6.25. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova mean sq: Ap. 8-274
Book 2.11E+05Data 6.25
Table 1 gives 6.25. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova f: Ap. 8-274
Book 0.04Data 0.00
Table 1 gives F = 1.2E-06 and p = 0.9992, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: Ap. 8-274
Book 0.8532Data 0.9992
Table 1 gives F = 1.2E-06 and p = 0.9992, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: Bp. 8-274
Book 24083Data 24
Table 1 gives F = 24.03 and p = 0.0163; the printed 24083 has also lost its decimal point, as Table 2's own 24.83 would read
Anova p: Bp. 8-274
Book 0.0155Data 0.0163
Table 1 gives F = 24.03 and p = 0.0163, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: Cp. 8-274
Book 17.51Data 16.94
Table 1 gives F = 16.94 and p = 0.0260, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: Cp. 8-274
Book 0.0249Data 0.0260
Table 1 gives F = 16.94 and p = 0.0260, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova sum sq: Dp. 8-274
Book 41652843Data 41180800
Table 1 gives 4.118E+07. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova mean sq: Dp. 8-274
Book 4.17E+07Data 4.11808e+07
Table 1 gives 4.118E+07. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova f: Dp. 8-274
Book 8.25Data 7.90
Table 1 gives F = 7.898 and p = 0.0673, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: Dp. 8-274
Book 0.0639Data 0.0673
Table 1 gives F = 7.898 and p = 0.0673, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova sum sq: A·Bp. 8-274
Book 135831506Data 136832000
Table 1 gives 1.368E+08. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova f: A·Bp. 8-274
Book 27.12Data 26.24
Table 1 gives F = 26.24 and p = 0.0144, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: A·Bp. 8-274
Book 0.0138Data 0.0144
Table 1 gives F = 26.24 and p = 0.0144, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: A·Cp. 8-274
Book 2.00Data 1.94
Table 1 gives F = 1.936 and p = 0.2584, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: A·Cp. 8-274
Book 0.2522Data 0.2584
Table 1 gives F = 1.936 and p = 0.2584, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova sum sq: A·Dp. 8-274
Book 201694Data 132
Table 1 gives 132.25. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova mean sq: A·Dp. 8-274
Book 2.02E+05Data 132.25
Table 1 gives 132.25. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova f: A·Dp. 8-274
Book 0.04Data 0.00
Table 1 gives F = 2.5E-05 and p = 0.9963, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: A·Dp. 8-274
Book 0.8563Data 0.9963
Table 1 gives F = 2.5E-05 and p = 0.9963, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: B·Cp. 8-274
Book 2.19Data 2.12
Table 1 gives F = 2.115 and p = 0.2418, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: B·Cp. 8-274
Book 0.2358Data 0.2418
Table 1 gives F = 2.115 and p = 0.2418, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: B·Dp. 8-274
Book 23.86Data 23.09
Table 1 gives F = 23.09 and p = 0.0172, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: B·Dp. 8-274
Book 0.0164Data 0.0172
Table 1 gives F = 23.09 and p = 0.0172, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: C·Dp. 8-274
Book 1.49Data 1.44
Table 1 gives F = 1.440 and p = 0.3163, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: C·Dp. 8-274
Book 0.3097Data 0.3163
Table 1 gives F = 1.440 and p = 0.3163, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova sum sq: A·B·Cp. 8-274
Book 10126124Data 10125100
Table 1 gives 1.01251E+07. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Anova f: A·B·Cp. 8-274
Book 2.01Data 1.94
Table 1 gives F = 1.942 and p = 0.2578, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: A·B·Cp. 8-274
Book 0.2516Data 0.2578
Table 1 gives F = 1.942 and p = 0.2578, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: A·B·Dp. 8-274
Book 30.22Data 29.25
Table 1 gives F = 29.25 and p = 0.0124, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: A·B·Dp. 8-274
Book 0.0118Data 0.0124
Table 1 gives F = 29.25 and p = 0.0124, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: A·C·Dp. 8-274
Book 2.67Data 2.58
Table 1 gives F = 2.583 and p = 0.2064, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: A·C·Dp. 8-274
Book 0.2008Data 0.2064
Table 1 gives F = 2.583 and p = 0.2064, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova f: B·C·Dp. 8-274
Book 1.78Data 1.73
Table 1 gives F = 1.726 and p = 0.2804, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Anova p: B·C·Dp. 8-274
Book 0.2740Data 0.2803
Table 1 gives F = 1.726 and p = 0.2804, against an error mean square of 5.214E+06 on 3 degrees of freedom; Table 2's error mean square is 5.05E+06
Ss residualp. 8-274
Book 15138512Data 15642200
Table 1 gives 15642200 for the error, the fourteen terms fitted to the 18 runs. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Ms residualp. 8-274
Book 5.05E+06Data 5.21408e+06
Table 1 gives 5.214E+06 for the error mean square. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
R squaredp. 8-274
Book .9796Data 0.978902
Table 1 gives R² = 0.9789. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
R squared adjp. 8-274
Book .8843Data 0.880446
Table 1 gives adjusted R² = 0.8804. Table 2 does not follow from the printed runs, with the centre runs' pump type at -1 and +1 or at 0: its sums of squares for A and A·D are far from 16 times the squares of Table 3's coefficients, 6.25 and 132.25
Coefficient: s: A·Dp. 8-278
Book -11.220Data -5.344
The coefficient of A·D is -5.344 and that of B·C -11.219: Table 4 prints them exchanged
Coefficient: s: B·Cp. 8-278
Book -5.340Data -11.219
The coefficient of A·D is -5.344 and that of B·C -11.219: Table 4 prints them exchanged
Coefficient: s: A·B·Cp. 8-278
Book 89.660Data 89.694
The coefficient is 89.694, which Table 4 prints, cut, as B·C·D's 89.690; its ABC row has 89.660
Coefficient: s: B·C·Dp. 8-278
Book 89.690Data -50.156
The coefficient is -50.156; Table 4's 89.690 is A·B·C's coefficient, 89.694, cut
Anova mean sq: biasp. J-4
Book 17843Data 17652
The 35 readings, checked against the page, give a mean square of 17651.8 (70607 on 4 degrees of freedom) and F = 348.6; the answer's 17843 does not follow from them
Anova f: biasp. J-4
Book 352.3Data 348.6
The 35 readings, checked against the page, give a mean square of 17651.8 (70607 on 4 degrees of freedom) and F = 348.6; the answer's 352.3 is 17843/50.64
Resolutionp. J-2
Book IVData 3
ACD and BCE, words of three letters, are in the defining relation, so the design is of resolution III, as the problem's own aliases of the main effects with two-factor interactions show
Aliases: Ap. J-2
Book CD = ABDE = BDEData ABCE, BDE, CD
A's aliases are CD, ABCE and BDE; the answer prints ABDE, a word of the defining relation, for ABCE

Not yet

Answers the book prints that Factorial cannot compute yet, by what it lacks.

A three-level fraction that also estimates the named interactions; the library makes three-level fractions only as Taguchi arrays chosen for the main effectsp. 3
The book's own rule for the number of centre runs, 4√(n_F + 1) - 2k rounded up (6.49 here); no library function computes itp. 3
The book's own rule for the centre runs of a composite design; no library function computes itp. 3
The book's own rule for centre runs, 4√(n_F + 1) - 2k; no library function computes itp. 3
The book's own rule for centre runs, rounded up from 8.49; no library function computes itp. 3

Show the rest

The answer's rule for an orthogonal design, 4√8 + 1 - 6 = 6.3, which the library does not use