参考
- 探索性回归的工作原理
- 解释“探索性回归”结果
- 解释 OLS 结果
测试一
分析内容
- 数据源
TI_ZoneStatis，记录数57条，其中
—— 因变量：驻点区域的单位时间内（2019年8月）的总复电时长TI_ZoneFaultInfo.SUM_TI_FaultPointInfo_TI_LeaveToResume
—— 解释变量：驻点区域的人数TI_ZonePersonCount.COUNT_USER_NAME
—— 解释变量：驻点区域单位时间内的故障数TI_ZoneFaultInfo.FREQUENCY - 默认阈值参数设置
—— 校正 R 平方：0.5
—— 系数 p 值 ：0.05
—— 方差膨胀因子 VIF：7.5
—— Jarque-Bera p 值：0.1
—— 空间自相关 p 值：0.1
工具运行结果
Parameters
Input Features TI_ZoneStatis
Dependent Variable TI_ZoneFaultInfo.SUM_TI_FaultPointInfo_TI_LeaveToResume
Candidate Explanatory Variables TI_ZonePersonCount.COUNT_USER_NAME;TI_ZoneFaultInfo.FREQUENCY
Weights Matrix File
Output Report File
Output Results Table
Maximum Number of Explanatory Variables 5
Minimum Number of Explanatory Variables 1
Minimum Acceptable Adj R Squared 0.5
Maximum Coefficient p value Cutoff 0.05
Maximum VIF Value Cutoff 7.5
Minimum Acceptable Jarque Bera p value 0.1
Minimum Acceptable Spatial Autocorrelation p value 0.1
Messages
Start Time: 2019年12月26日 11:00:36
Running script ExploratoryRegression...
WARNING 001605: Distances for Geographic Coordinates (degrees, minutes, seconds) are analyzed using Chordal Distances in meters.
WARNING 001171: Cannot construct models with 5 variables.
WARNING 001172: Setting Maximum Number of Variables parameter to: 2.
******************************************************************************
Choose 1 of 2 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1478.91 0.89 0.00 1.00 0.17 +TI_ZONEFAULTINFO.FREQUENCY***
-0.01 1566.35 0.00 0.44 1.00 0.23 +TI_ZONEPERSONCOUNT.COUNT_USER_NAME
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.781877 1478.907478 0.892218 0.000139 1.000000 0.166937 +TI_ZONEFAULTINFO.FREQUENCY***
******************************************************************************
Choose 2 of 2 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1480.84 0.94 0.00 1.02 0.12 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
******************************************************************************
Exploratory Regression Global Summary (TI_ZONEFAULTINFO.SUM_TI_FAULTPOINTINFO_TI_LEAVETORESUME)
Percentage of Search Criteria Passed
Search Criterion Cutoff Trials # Passed % Passed
Min Adjusted R-Squared > 0.50 3 2 66.67
Max Coefficient p-value < 0.05 3 1 33.33
Max VIF Value < 7.50 3 3 100.00
Min Jarque-Bera p-value > 0.10 3 2 66.67
Min Spatial Autocorrelation p-value > 0.10 3 3 100.00
------------------------------------------------------------------------------
Summary of Variable Significance
Variable % Significant % Negative % Positive
TI_ZONEFAULTINFO.FREQUENCY 100.00 0.00 100.00
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 0.00 50.00 50.00
------------------------------------------------------------------------------
Summary of Multicollinearity
Variable VIF Violations Covariates
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 1.02 0 --------
TI_ZONEFAULTINFO.FREQUENCY 1.02 0 --------
------------------------------------------------------------------------------
Summary of Residual Normality (JB)
JB AdjR2 AICc K(BP) VIF SA Model
0.941548 0.779323 1480.841662 0.000710 1.018190 0.119914 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.892218 0.781877 1478.907478 0.000139 1.000000 0.166937 +TI_ZONEFAULTINFO.FREQUENCY***
0.000011 -0.011504 1566.353268 0.437676 1.000000 0.230225 +TI_ZONEPERSONCOUNT.COUNT_USER_NAME
------------------------------------------------------------------------------
Summary of Residual Spatial Autocorrelation (SA)
SA AdjR2 AICc JB K(BP) VIF Model
0.119914 0.779323 1480.841662 0.941548 0.000710 1.018190 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.166937 0.781877 1478.907478 0.892218 0.000139 1.000000 +TI_ZONEFAULTINFO.FREQUENCY***
0.230225 -0.011504 1566.353268 0.000011 0.437676 1.000000 +TI_ZONEPERSONCOUNT.COUNT_USER_NAME
------------------------------------------------------------------------------
Table Abbreviations
AdjR2 Adjusted R-Squared
AICc Akaike's Information Criterion
JB Jarque-Bera p-value
K(BP) Koenker (BP) Statistic p-value
VIF Max Variance Inflation Factor
SA Global Moran's I p-value
Model Variable sign (+/-)
Model Variable significance (* = 0.10; ** = 0.05; *** = 0.01)
------------------------------------------------------------------------------
Completed script Exploratory Regression...
Succeeded at 2019年12月26日 11:00:37 (Elapsed Time: 0.60 seconds)
参数解析
- 阈值条件解释：
—— 模型合格需要小于设置的最大 p 值系数边界0.05
—— AdjR2，校正的R平方，用于评估模型性能 / 模型预测的准确度。值的大小表示模型可解释因变量中多少百分比的变化。模型合格需要大于设置的可接受的最小校正 R 平方0.5。
—— AICc，经过修正的 Akaike 信息准则，用于比较不同模型。值越小，模型越好。具有越小 AICc 值的模型会更符合已观测的数据。
—— JB，Jarque-Bera p 值，用于评估模型的偏差，检验正态分布的偏差是否具有统计学上的显著性。模型合格需要大于设置的可接受的最小Jarque Bera p 值0.1
—— K(BP)，Koenker 的标准化 Breusch-Pagan p 值，用于评估模型的稳态，用于确定模型的解释变量是否在地理空间和数据空间中都与因变量具有一致的关系。对于大小为 95% 的置信度，p 值（概率）小于 0.05 表示模型具有统计学上的显著异方差性和/或非稳态。
—— VIF，最大方差膨胀因子，用于测量解释变量中的冗余，一般来说，超过设置的阈值表示有冗余。合格模型需要小于设置的可接受的最大 VIF 边界值7.5。
—— SA，残差空间自相关的测量（Global Moran’s I p 值），评估残差的空间自相关。合格模型需要大于设置的可接受的最小空间自相关 p 值0.1
—— 其中，通过的模型表示在接受所有默认搜索条件（可接受的最小校正 R 平方、最大 p 值系数边界、最大 VIF 值边界、可接受的最小 Jarque Bera p 值和可接受的最小空间自相关 p 值参数）的前提下， 模型合格
结果分段解析
- 工具分别挑选1个和2个解释变量进行组合运行普通最小二乘法回归OLS，对尝试的模型进行评估
- 选中 1 / 2 执行最大校正 R 平方结果
—— 解释变量故障数FREQUENCY的模型显著，可以解释78%的因变量，为合格模型。
Choose 1 of 2 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1478.91 0.89 0.00 1.00 0.17 +TI_ZONEFAULTINFO.FREQUENCY***
-0.01 1566.35 0.00 0.44 1.00 0.23 +TI_ZONEPERSONCOUNT.COUNT_USER_NAME
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.781877 1478.907478 0.892218 0.000139 1.000000 0.166937 +TI_ZONEFAULTINFO.FREQUENCY***
- 选中 2 / 2 执行最大校正 R 平方结果
—— 没找到合格的模型
Choose 2 of 2 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1480.84 0.94 0.00 1.02 0.12 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
- 探索式回归全局汇总
Exploratory Regression Global Summary (TI_ZONEFAULTINFO.SUM_TI_FAULTPOINTINFO_TI_LEAVETORESUME)
Percentage of Search Criteria Passed
Search Criterion Cutoff Trials # Passed % Passed
Min Adjusted R-Squared > 0.50 3 2 66.67
Max Coefficient p-value < 0.05 3 1 33.33
Max VIF Value < 7.50 3 3 100.00
Min Jarque-Bera p-value > 0.10 3 2 66.67
Min Spatial Autocorrelation p-value > 0.10 3 3 100.00
- 变量显著性汇总
—— 故障数的显著性为100%，驻点人数为0%
Summary of Variable Significance
Variable % Significant % Negative % Positive
TI_ZONEFAULTINFO.FREQUENCY 100.00 0.00 100.00
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 0.00 50.00 50.00
- 多重共线性汇总
—— 无冗余
Summary of Multicollinearity
Variable VIF Violations Covariates
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 1.02 0 --------
TI_ZONEFAULTINFO.FREQUENCY 1.02 0 --------
- 残差正态的汇总
—— 包含解释变量故障数的模型具有显著性。
—— 只含有解释变量驻点人数的模型不显著。
Summary of Residual Normality (JB)
JB AdjR2 AICc K(BP) VIF SA Model
0.941548 0.779323 1480.841662 0.000710 1.018190 0.119914 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.892218 0.781877 1478.907478 0.000139 1.000000 0.166937 +TI_ZONEFAULTINFO.FREQUENCY***
0.000011 -0.011504 1566.353268 0.437676 1.000000 0.230225 +TI_ZONEPERSONCOUNT.COUNT_USER_NAME
- 残差自相关的汇总
—— 包含解释变量故障数的模型具有显著性。
—— 只含有解释变量驻点人数的模型不显著。
Summary of Residual Spatial Autocorrelation (SA)
SA AdjR2 AICc JB K(BP) VIF Model
0.119914 0.779323 1480.841662 0.941548 0.000710 1.018190 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.166937 0.781877 1478.907478 0.892218 0.000139 1.000000 +TI_ZONEFAULTINFO.FREQUENCY***
0.230225 -0.011504 1566.353268 0.000011 0.437676 1.000000 +TI_ZONEPERSONCOUNT.COUNT_USER_NAME
阶段性结论
单位时间内（2019年8月），各驻点区域的总复电时长与该区域的故障数关系显著，与该区域的驻点人数关系不显著。
测试二
Parameters
Input Features TI_ZoneStatis
Dependent Variable TI_ZoneFaultInfo.SUM_TI_FaultPointInfo_TI_LeaveToResume
Candidate Explanatory Variables TI_ZoneStatis.SHAPE_Leng;TI_ZoneStatis.Shape_Area;TI_ZonePersonCount.COUNT_USER_NAME;TI_ZoneFaultInfo.FREQUENCY;TI_ZoneFaultInfo.SUM_TI_GPSLine_DISTANCE
Weights Matrix File
Output Report File
Output Results Table
Maximum Number of Explanatory Variables 5
Minimum Number of Explanatory Variables 1
Minimum Acceptable Adj R Squared 0.5
Maximum Coefficient p value Cutoff 0.05
Maximum VIF Value Cutoff 7.5
Minimum Acceptable Jarque Bera p value 0.1
Minimum Acceptable Spatial Autocorrelation p value 0.1
Messages
Start Time: 2019年12月26日 11:09:29
Running script ExploratoryRegression...
WARNING 001605: Distances for Geographic Coordinates (degrees, minutes, seconds) are analyzed using Chordal Distances in meters.
******************************************************************************
Choose 1 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1478.91 0.89 0.00 1.00 0.17 +TI_ZONEFAULTINFO.FREQUENCY***
0.12 1558.20 0.00 0.37 1.00 0.22 +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE***
0.02 1564.55 0.00 0.45 1.00 0.33 +TI_ZONESTATIS.SHAPE_AREA
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.781877 1478.907478 0.892218 0.000139 1.000000 0.166937 +TI_ZONEFAULTINFO.FREQUENCY***
******************************************************************************
Choose 2 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1480.61 0.90 0.00 1.16 0.09 +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
0.78 1480.84 0.94 0.00 1.02 0.12 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.78 1480.93 0.92 0.00 1.03 0.11 +TI_ZONESTATIS.SHAPE_AREA +TI_ZONEFAULTINFO.FREQUENCY***
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
******************************************************************************
Choose 3 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.79 1478.32 0.75 0.00 5.92 0.89 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY***
0.78 1481.81 0.87 0.00 1.77 0.29 -TI_ZONESTATIS.SHAPE_LENG +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
0.78 1482.64 0.97 0.00 1.18 0.06 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.793774 1478.323064 0.745280 0.000104 5.921915 0.891006 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY***
******************************************************************************
Choose 4 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.80 1479.32 0.67 0.00 6.23 0.91 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.79 1480.24 0.80 0.00 6.34 0.86 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
0.78 1483.84 0.94 0.00 1.78 0.22 -TI_ZONESTATIS.SHAPE_LENG -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.791954 1480.241588 0.800448 0.000171 6.337681 0.859701 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
******************************************************************************
Choose 5 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.79 1481.38 0.74 0.00 6.67 0.86 -TI_ZONESTATIS.SHAPE_LENG*** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE*
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
******************************************************************************
Exploratory Regression Global Summary (TI_ZONEFAULTINFO.SUM_TI_FAULTPOINTINFO_TI_LEAVETORESUME)
Percentage of Search Criteria Passed
Search Criterion Cutoff Trials # Passed % Passed
Min Adjusted R-Squared > 0.50 31 16 51.61
Max Coefficient p-value < 0.05 31 4 12.90
Max VIF Value < 7.50 31 31 100.00
Min Jarque-Bera p-value > 0.10 31 16 51.61
Min Spatial Autocorrelation p-value > 0.10 15 11 73.33
------------------------------------------------------------------------------
Summary of Variable Significance
Variable % Significant % Negative % Positive
TI_ZONEFAULTINFO.FREQUENCY 100.00 0.00 100.00
TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE 43.75 0.00 100.00
TI_ZONESTATIS.SHAPE_LENG 25.00 87.50 12.50
TI_ZONESTATIS.SHAPE_AREA 25.00 12.50 87.50
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 0.00 50.00 50.00
------------------------------------------------------------------------------
Summary of Multicollinearity
Variable VIF Violations Covariates
TI_ZONESTATIS.SHAPE_LENG 6.24 0 --------
TI_ZONESTATIS.SHAPE_AREA 6.67 0 --------
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 1.08 0 --------
TI_ZONEFAULTINFO.FREQUENCY 1.19 0 --------
TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE 1.90 0 --------
------------------------------------------------------------------------------
Summary of Residual Normality (JB)
JB AdjR2 AICc K(BP) VIF SA Model
0.985942 0.776451 1482.920357 0.000149 1.050026 0.069601 +TI_ZONESTATIS.SHAPE_AREA -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.973258 0.777540 1482.642003 0.000129 1.178170 0.059345 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
0.973112 0.773314 1485.132557 0.000241 1.892902 0.054804 +TI_ZONESTATIS.SHAPE_AREA -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
------------------------------------------------------------------------------
Summary of Residual Spatial Autocorrelation (SA)
SA AdjR2 AICc JB K(BP) VIF Model
0.907084 0.795280 1479.323035 0.666325 0.001442 6.232262 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.891006 0.793774 1478.323064 0.745280 0.000104 5.921915 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY***
0.860542 0.793254 1481.383145 0.743731 0.001920 6.669903 -TI_ZONESTATIS.SHAPE_LENG*** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE*
------------------------------------------------------------------------------
Table Abbreviations
AdjR2 Adjusted R-Squared
AICc Akaike's Information Criterion
JB Jarque-Bera p-value
K(BP) Koenker (BP) Statistic p-value
VIF Max Variance Inflation Factor
SA Global Moran's I p-value
Model Variable sign (+/-)
Model Variable significance (* = 0.10; ** = 0.05; *** = 0.01)
------------------------------------------------------------------------------
Completed script Exploratory Regression...
Succeeded at 2019年12月26日 11:09:30 (Elapsed Time: 0.49 seconds)
测试三
Parameters
Input Features TI_FaultPointInfo
Dependent Variable TI_FaultPointInfo.TI_LeaveToResume
Candidate Explanatory Variables TI_GPSLine.DISTANCE
Weights Matrix File
Output Report File
Output Results Table
Maximum Number of Explanatory Variables 5
Minimum Number of Explanatory Variables 1
Minimum Acceptable Adj R Squared 0.5
Maximum Coefficient p value Cutoff 0.05
Maximum VIF Value Cutoff 7.5
Minimum Acceptable Jarque Bera p value 0.1
Minimum Acceptable Spatial Autocorrelation p value 0.1
Messages
Start Time: 2019年12月26日 11:12:43
Running script ExploratoryRegression...
WARNING 001605: Distances for Geographic Coordinates (degrees, minutes, seconds) are analyzed using Chordal Distances in meters.
WARNING 001171: Cannot construct models with 5 variables.
WARNING 001172: Setting Maximum Number of Variables parameter to: 1.
******************************************************************************
Choose 1 of 1 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.00 211946.80 0.00 0.06 1.00 0.00 +TI_GPSLINE.DISTANCE*
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
******************************************************************************
* Exploratory Regression Global Summary (TI_FAULTPOINTINFO.TI_LEAVETORESUME) *
Percentage of Search Criteria Passed
Search Criterion Cutoff Trials # Passed % Passed
Min Adjusted R-Squared > 0.50 1 0 0.00
Max Coefficient p-value < 0.05 1 0 0.00
Max VIF Value < 7.50 1 1 100.00
Min Jarque-Bera p-value > 0.10 1 0 0.00
Min Spatial Autocorrelation p-value > 0.10 1 0 0.00
------------------------------------------------------------------------------
Summary of Variable Significance
Variable % Significant % Negative % Positive
TI_GPSLINE.DISTANCE 0.00 0.00 100.00
------------------------------------------------------------------------------
Summary of Multicollinearity
Variable VIF Violations Covariates
TI_GPSLINE.DISTANCE -------- 0 --------
------------------------------------------------------------------------------
Summary of Residual Normality (JB)
JB AdjR2 AICc K(BP) VIF SA Model
0.000000 0.002982 211946.802860 0.058840 1.000000 0.000000 +TI_GPSLINE.DISTANCE*
------------------------------------------------------------------------------
Summary of Residual Spatial Autocorrelation (SA)
SA AdjR2 AICc JB K(BP) VIF Model
0.000000 0.002982 211946.802860 0.000000 0.058840 1.000000 +TI_GPSLINE.DISTANCE*
------------------------------------------------------------------------------
Table Abbreviations
AdjR2 Adjusted R-Squared
AICc Akaike's Information Criterion
JB Jarque-Bera p-value
K(BP) Koenker (BP) Statistic p-value
VIF Max Variance Inflation Factor
SA Global Moran's I p-value
Model Variable sign (+/-)
Model Variable significance (* = 0.10; ** = 0.05; *** = 0.01)
------------------------------------------------------------------------------
Completed script Exploratory Regression...
Succeeded at 2019年12月26日 11:12:52 (Elapsed Time: 9.12 seconds)
测试四
Parameters
Input Features TI_ZoneStatis
Dependent Variable TI_ZoneFaultInfo.SUM_TI_FaultPointInfo_TI_LeaveToResume
Candidate Explanatory Variables TI_ZoneStatis.SHAPE_Leng;TI_ZoneStatis.Shape_Area;TI_ZonePersonCount.COUNT_USER_NAME;TI_ZoneFaultInfo.FREQUENCY;TI_ZoneFaultInfo.SUM_TI_GPSLine_DISTANCE
Weights Matrix File
Output Report File
Output Results Table
Maximum Number of Explanatory Variables 5
Minimum Number of Explanatory Variables 1
Minimum Acceptable Adj R Squared 0.5
Maximum Coefficient p value Cutoff 0.05
Maximum VIF Value Cutoff 7.5
Minimum Acceptable Jarque Bera p value 0.1
Minimum Acceptable Spatial Autocorrelation p value 0.1
Messages
Start Time: 2019年12月26日 10:09:38
Running script ExploratoryRegression...
WARNING 001605: Distances for Geographic Coordinates (degrees, minutes, seconds) are analyzed using Chordal Distances in meters.
******************************************************************************
Choose 1 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1478.91 0.89 0.00 1.00 0.17 +TI_ZONEFAULTINFO.FREQUENCY***
0.12 1558.20 0.00 0.37 1.00 0.22 +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE***
0.02 1564.55 0.00 0.45 1.00 0.33 +TI_ZONESTATIS.SHAPE_AREA
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.781877 1478.907478 0.892218 0.000139 1.000000 0.166937 +TI_ZONEFAULTINFO.FREQUENCY***
******************************************************************************
Choose 2 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.78 1480.61 0.90 0.00 1.16 0.09 +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
0.78 1480.84 0.94 0.00 1.02 0.12 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.78 1480.93 0.92 0.00 1.03 0.11 +TI_ZONESTATIS.SHAPE_AREA +TI_ZONEFAULTINFO.FREQUENCY***
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
******************************************************************************
Choose 3 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.79 1478.32 0.75 0.00 5.92 0.89 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY***
0.78 1481.81 0.87 0.00 1.77 0.29 -TI_ZONESTATIS.SHAPE_LENG +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
0.78 1482.64 0.97 0.00 1.18 0.06 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.793774 1478.323064 0.745280 0.000104 5.921915 0.891006 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY***
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Choose 4 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.80 1479.32 0.67 0.00 6.23 0.91 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.79 1480.24 0.80 0.00 6.34 0.86 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
0.78 1483.84 0.94 0.00 1.78 0.22 -TI_ZONESTATIS.SHAPE_LENG -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
0.791954 1480.241588 0.800448 0.000171 6.337681 0.859701 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE**
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Choose 5 of 5 Summary
Highest Adjusted R-Squared Results
AdjR2 AICc JB K(BP) VIF SA Model
0.79 1481.38 0.74 0.00 6.67 0.86 -TI_ZONESTATIS.SHAPE_LENG*** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE*
Passing Models
AdjR2 AICc JB K(BP) VIF SA Model
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Exploratory Regression Global Summary (TI_ZONEFAULTINFO.SUM_TI_FAULTPOINTINFO_TI_LEAVETORESUME)
Percentage of Search Criteria Passed
Search Criterion Cutoff Trials # Passed % Passed
Min Adjusted R-Squared > 0.50 31 16 51.61
Max Coefficient p-value < 0.05 31 4 12.90
Max VIF Value < 7.50 31 31 100.00
Min Jarque-Bera p-value > 0.10 31 16 51.61
Min Spatial Autocorrelation p-value > 0.10 15 11 73.33
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Summary of Variable Significance
Variable % Significant % Negative % Positive
TI_ZONEFAULTINFO.FREQUENCY 100.00 0.00 100.00
TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE 43.75 0.00 100.00
TI_ZONESTATIS.SHAPE_LENG 25.00 87.50 12.50
TI_ZONESTATIS.SHAPE_AREA 25.00 12.50 87.50
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 0.00 50.00 50.00
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Summary of Multicollinearity
Variable VIF Violations Covariates
TI_ZONESTATIS.SHAPE_LENG 6.24 0 --------
TI_ZONESTATIS.SHAPE_AREA 6.67 0 --------
TI_ZONEPERSONCOUNT.COUNT_USER_NAME 1.08 0 --------
TI_ZONEFAULTINFO.FREQUENCY 1.19 0 --------
TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE 1.90 0 --------
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Summary of Residual Normality (JB)
JB AdjR2 AICc K(BP) VIF SA Model
0.985942 0.776451 1482.920357 0.000149 1.050026 0.069601 +TI_ZONESTATIS.SHAPE_AREA -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.973258 0.777540 1482.642003 0.000129 1.178170 0.059345 -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
0.973112 0.773314 1485.132557 0.000241 1.892902 0.054804 +TI_ZONESTATIS.SHAPE_AREA -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE
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Summary of Residual Spatial Autocorrelation (SA)
SA AdjR2 AICc JB K(BP) VIF Model
0.907084 0.795280 1479.323035 0.666325 0.001442 6.232262 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY***
0.891006 0.793774 1478.323064 0.745280 0.000104 5.921915 -TI_ZONESTATIS.SHAPE_LENG** +TI_ZONESTATIS.SHAPE_AREA*** +TI_ZONEFAULTINFO.FREQUENCY***
0.860542 0.793254 1481.383145 0.743731 0.001920 6.669903 -TI_ZONESTATIS.SHAPE_LENG*** +TI_ZONESTATIS.SHAPE_AREA*** -TI_ZONEPERSONCOUNT.COUNT_USER_NAME +TI_ZONEFAULTINFO.FREQUENCY*** +TI_ZONEFAULTINFO.SUM_TI_GPSLINE_DISTANCE*
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Table Abbreviations
AdjR2 Adjusted R-Squared
AICc Akaike's Information Criterion
JB Jarque-Bera p-value
K(BP) Koenker (BP) Statistic p-value
VIF Max Variance Inflation Factor
SA Global Moran's I p-value
Model Variable sign (+/-)
Model Variable significance (* = 0.10; ** = 0.05; *** = 0.01)
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Completed script Exploratory Regression...
Succeeded at 2019年12月26日 10:09:39 (Elapsed Time: 0.74 seconds)