小白虚心向各位大牛请教,望各位大神出手搭救!么么哒!
问题背景:选择四个组块进入多元阶层回归,得出四个模型,各个模型的F值检验都是显著,通过检验。
模型汇总 |
模型 | R | R 方 | 调整 R 方 | 标准 估计的误差 | 更改统计量 |
R 方更改 | F 更改 | df1 | df2 | Sig. F 更改 |
1 | .142 | .020 | .013 | .56708 | .020 | 3.045 | 6 | 891 | .006 |
2 | .475 | .226 | .217 | .50523 | .206 | 58.879 | 4 | 887 | .000 |
3 | .476 | .227 | .216 | .50548 | .001 | .561 | 2 | 885 | .571 |
4 | .483 | .233 | .220 | .50428 | .006 | 2.397 | 3 | 882 | .067 |
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模型1:预测变量:(常量)、X1、X2、X3、X4、X5、X6模型2:预测变量:(常量)、X1、X2、X3、X4、X5、X6;X7、X8、X9、X10
模型3:预测变量:(常量)X1、X2、X3、X4、X5、X6;X7、X8 、X9、X10;X11、X12
模型4:预测变量:(常量)X1、X2、X3、X4、X5、X6;X7、X8 、X9、X10;X11、X12;X13、X14、X15
各自变量的回归系数如下表:
系数a |
模型 | 非标准化系数 | 标准系数 | t | Sig. |
B | 标准 误差 | 试用版 |
1 | (常量) | 1.255 | .093 |
| 13.506
| .000 |
X1 | .068 | .039 | .060 | 1.722 | .085 |
X2 | .018 | .019 | .036 | .908 | .364 |
X3 | .003 | .022 | .005 | .114 | .909 |
X4 | -.001 | .017 | -.003 | -.086 | .931 |
X5 | .132 | .048 | .109 | 2.740 | .006 |
X6 | .140 | .049 | .113 | 2.864 | .004 |
2 | (常量) | 1.242 | .096 |
| 12.890
| .000 |
X1 | .060 | .035 | .052 | 1.692 | .091 |
X2 | -.016 | .020 | -.033 | -.820 | .413 |
X3 | -.006 | .021 | -.012 | -.310 | .757 |
X4 | .012 | .015 | .026 | .787 | .432 |
X5 | .082 | .043 | .068 | 1.891 | .059 |
X6 | .065 | .044 | .053 | 1.475 | .140 |
X7 | -.018 | .010 | -.061 | -1.697 | .090 |
X8 | -.008 | .010 | -.028 | -.801 | .423 |
X9 | .047 | .014 | .111 | 3.337 | .001 |
X10 | .187 | .014 | .412 | 12.932 | .000 |
3 | (常量) | 1.246 | .097 |
| 12.843
| .000 |
X1 | .059 | .035 | .051 | 1.652 | .099 |
X2 | -.016 | .020 | -.034 | -.828 | .408 |
X3 | -.006 | .021 | -.011 | -.290 | .772 |
X4 | .013 | .015 | .028 | .853 | .394 |
X5 | .080 | .043 | .066 | 1.834 | .067 |
X6 | .066 | .044 | .053 | 1.498 | .134 |
X7 | -.018 | .011 | -.063 | -1.741 | .082 |
X8 | -.009 | .010 | -.031 | -.885 | .376 |
X9 | .047 | .014 | .109 | 3.267 | .001 |
X10 | .187 | .015 | .412 | 12.892 | .000 |
X11 | .017 | .017 | .030 | 1.011 | .312 |
X12 | .006 | .017 | .010 | .346 | .730 |
4 | (常量) | 1.192 | .099 |
| 12.007
| .000 |
X1 | .061 | .035 | .054 | 1.732 | .084 |
X2 | -.014 | .020 | -.029 | -.712 | .477 |
X3 | .000 | .021 | .000 | -.001 | .999 |
X4 | .016 | .015 | .036 | 1.089 | .276 |
X5 | .074 | .044 | .062 | 1.704 | .089 |
X6 | .068 | .045 | .054 | 1.515 | .130 |
X7 | -.013 | .011 | -.044 | -1.187 | .235 |
X8 | -.008 | .010 | -.027 | -.772 | .440 |
X9 | .046 | .014 | .108 | 3.251 | .001 |
X10 | .185 | .015 | .407 | 12.727 | .000 |
X11 | .025 | .018 | .044 | 1.407 | .160 |
X12 | .024 | .019 | .042 | 1.286 | .199 |
X13 | -.049 | .019 | -.086 | -2.585 | .010 |
X14 | -.010 | .017 | -.018 | -.599 | .550 |
X15 | -.010 | .018 | -.018 | -.581 | .561 |
Q1:模型汇总表中显示的最后一列 sig F更改 显示 第四个组块进入方程之后 F值更改不显著(模型汇总中表黄),这样是说明第四个组块整体上对因变量没有解释吗?那么第四组块中的自变量X13即使对因变量的解释显著(系数表中标黄),也不能采纳是吗?
Q2:四个组块分层进入回归,在系数表中出现四个系数表,那么最后解释的时候是只看第四4个系数表吗?
Q3:在第1个阶层中,X2的回归系数为负,怎么到了第2个阶层中,系数就变为负了呢?一直到第4个阶层都是负的,虽然这在这个表中不显著,但如果在第四个阶层中显著的话,该怎么解释呢?
Q4:很多涉及阶层回归的文章都提到了控制变量,我也查阅了一些资料,都说控制变量和解释变量没什么区别,但在解释结果的时候应该如果解释呢?以本表为例,是不是在解释第二组块的自变量时,就要称第一组块的自变量为控制变量呢?解释第三组块自变量时就要称第一和第二组块为控制变量是吗?
Q5:控制变量就是说将这些变量控制,因变量在不考虑控制变量差异的情况下,考察剩余变量对因变量的影响是吗?
谢谢各位大神!!!在线等~~~!手动比心!!!