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minitab做方差分析时方差分量有负值,是怎么回事?

一般线性模型: DeltaP_P 与 Stack, Stand

因子 类型 水平数 值
Stack 随机 4 S4.42X211sn001, S4.42X211sn002, S4.42X211sn003,
S4.42X211sn004
Stand 随机 4 TS#10, TS#11, TS#12, TS#9


DeltaP_P 的方差分析,在检验中使用调整的 SS

来源 自由度 Seq SS Adj SS Adj MS F P
Stack 3 5.8850 5.8850 1.9617 0.79 0.531
Stand 3 45.3072 45.3072 15.1024 6.06 0.015
Stack*Stand 9 22.4393 22.4393 2.4933 63.07 0.000
误差 64 2.5299 2.5299 0.0395
合计 79 76.1614


S = 0.198821 R-Sq = 96.68% R-Sq(调整) = 95.90%


DeltaP_P 的异常观测值

拟合值 标准化
观测值 DeltaP_P 拟合值 标准误 残差 残差
12 140.765 141.779 0.089 -1.014 -5.70 R
14 142.197 141.779 0.089 0.418 2.35 R
15 142.598 141.779 0.089 0.819 4.60 R

R 表示此观测值含有大的标准化残差


期望均方,使用调整的 SS

来源 每项的期望均方
1 Stack (4) + 5.0000 (3) + 20.0000 (1)
2 Stand (4) + 5.0000 (3) + 20.0000 (2)
3 Stack*Stand (4) + 5.0000 (3)
4 误差 (4)


检验的误差项,使用调整的 SS

误差自 误差 MS
来源 由度 误差 MS 综合
1 Stack 9.00 2.4933 (3)
2 Stand 9.00 2.4933 (3)
3 Stack*Stand 64.00 0.0395 (4)


方差分量,使用调整的 SS

来源 估计值
Stack -0.02658
Stand 0.63046
Stack*Stand 0.49074
误差 0.03953

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Stack Stand Measurement number Pinlet_N_AVG Pinlet_P_AVG DeltaP_P DeltaP_N
S4.42X211sn001 TS#9 1 149.96 150.01 142.70 142.65
S4.42X211sn001 TS#9 2 150.08 150.01 142.80 142.87
S4.42X211sn001 TS#9 3 150.00 150.03 142.81 142.78
S4.42X211sn001 TS#9 4 150.07 150.00 142.88 142.95
S4.42X211sn001 TS#9 5 150.03 150.00 142.86 142.89
S4.42X211sn002 TS#9 1 149.97 149.99 142.50 142.49
S4.42X211sn002 TS#9 2 149.92 150.08 142.68 142.52
S4.42X211sn002 TS#9 3 150.04 150.00 142.66 142.70
S4.42X211sn002 TS#9 4 150.06 150.01 142.50 142.56
S4.42X211sn002 TS#9 5 150.00 150.03 142.30 142.27
S4.42X211sn003 TS#9 1 149.99 149.94 141.86 141.91
S4.42X211sn003 TS#9 2 149.95 150.00 140.76 140.72
S4.42X211sn003 TS#9 3 150.03 150.00 141.48 141.51
S4.42X211sn003 TS#9 4 149.98 150.01 142.20 142.17
S4.42X211sn003 TS#9 5 149.98 150.03 142.60 142.55
S4.42X211sn004 TS#9 1 149.97 150.01 143.64 143.60
S4.42X211sn004 TS#9 2 149.99 149.97 143.82 143.84
S4.42X211sn004 TS#9 3 149.96 150.02 143.87 143.81
S4.42X211sn004 TS#9 4 149.97 149.99 143.57 143.56
S4.42X211sn004 TS#9 5 149.98 150.02 143.37 143.33
S4.42X211sn001 TS#10 1 149.96 149.99 145.84 143.98
S4.42X211sn001 TS#10 2 149.94 149.98 145.83 143.99
S4.42X211sn001 TS#10 3 149.92 150.04 145.90 143.96
S4.42X211sn001 TS#10 4 149.96 149.99 145.83 143.95
S4.42X211sn001 TS#10 5 149.86 150.00 145.83 143.80
S4.42X211sn002 TS#10 1 149.95 150.04 145.72 143.72
S4.42X211sn002 TS#10 2 150.01 149.99 145.66 143.80
S4.42X211sn002 TS#10 3 149.97 149.98 145.63 143.71
S4.42X211sn002 TS#10 4 149.98 150.03 145.69 143.70
S4.42X211sn002 TS#10 5 150.03 150.00 145.67 143.75
S4.42X211sn003 TS#10 1 149.97 149.98 144.01 144.00
S4.42X211sn003 TS#10 2 149.95 149.94 144.00 144.01
S4.42X211sn003 TS#10 3 149.98 150.00 144.01 143.99
S4.42X211sn003 TS#10 4 149.94 149.94 143.89 143.90
S4.42X211sn003 TS#10 5 150.00 150.00 144.06 144.06
S4.42X211sn004 TS#10 1 149.91 149.99 143.69 143.61
S4.42X211sn004 TS#10 2 150.02 150.00 143.78 143.80
S4.42X211sn004 TS#10 3 149.97 150.02 143.75 143.70
S4.42X211sn004 TS#10 4 149.91 150.00 143.66 143.58
S4.42X211sn004 TS#10 5 149.92 150.00 143.66 143.58
S4.42X211sn001 TS#11 1 150.01 149.98 144.09 144.12
S4.42X211sn001 TS#11 2 149.98 150.01 144.12 144.08
S4.42X211sn001 TS#11 3 149.96 150.01 144.14 144.09
S4.42X211sn001 TS#11 4 150.00 149.97 144.16 144.19
S4.42X211sn001 TS#11 5 149.97 149.95 144.02 144.04
S4.42X211sn002 TS#11 1 149.99 149.97 143.89 143.91
S4.42X211sn002 TS#11 2 149.99 149.98 143.77 143.78
S4.42X211sn002 TS#11 3 150.00 150.01 143.95 143.94
S4.42X211sn002 TS#11 4 149.95 149.99 143.93 143.90
S4.42X211sn002 TS#11 5 149.99 150.01 143.98 143.95
S4.42X211sn003 TS#11 1 149.99 150.03 144.13 144.09
S4.42X211sn003 TS#11 2 150.01 149.98 144.08 144.11
S4.42X211sn003 TS#11 3 150.00 150.00 144.06 144.06
S4.42X211sn003 TS#11 4 149.97 150.02 144.08 144.03
S4.42X211sn003 TS#11 5 149.97 150.02 144.09 144.05
S4.42X211sn004 TS#11 1 150.01 150.00 143.83 143.84
S4.42X211sn004 TS#11 2 149.97 150.00 143.78 143.74
S4.42X211sn004 TS#11 3 149.99 150.01 143.73 143.71
S4.42X211sn004 TS#11 4 149.94 150.03 143.79 143.70
S4.42X211sn004 TS#11 5 149.99 149.99 143.79 143.79
S4.42X211sn001 TS#12 1 149.99 150.01 144.14 144.12
S4.42X211sn001 TS#12 2 150.02 149.98 144.06 144.11
S4.42X211sn001 TS#12 3 149.95 150.01 143.99 143.93
S4.42X211sn001 TS#12 4 150.01 149.99 144.09 144.11
S4.42X211sn001 TS#12 5 149.98 149.98 143.95 143.95
S4.42X211sn002 TS#12 1 150.00 150.02 143.75 143.73
S4.42X211sn002 TS#12 2 150.00 149.99 143.70 143.71
S4.42X211sn002 TS#12 3 149.99 150.01 143.77 143.74
S4.42X211sn002 TS#12 4 149.98 149.97 143.67 143.68
S4.42X211sn002 TS#12 5 150.00 149.97 143.59 143.61
S4.42X211sn003 TS#12 1 149.99 149.98 144.04 144.06
S4.42X211sn003 TS#12 2 149.99 150.00 144.01 144.00
S4.42X211sn003 TS#12 3 150.00 149.99 144.00 144.01
S4.42X211sn003 TS#12 4 149.96 150.01 144.00 143.94
S4.42X211sn003 TS#12 5 150.01 149.99 144.02 144.04
S4.42X211sn004 TS#12 1 149.95 149.96 143.63 143.63
S4.42X211sn004 TS#12 2 150.03 149.98 143.45 143.50
S4.42X211sn004 TS#12 3 149.94 150.01 143.88 143.82
S4.42X211sn004 TS#12 4 149.96 150.03 143.94 143.87
S4.42X211sn004 TS#12 5 149.98 150.01 143.81 143.78

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