单因子协方差分析

你可将word，excel表的数据直接拷入左边的文本框内，按提交进行计算。

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3条回归直线表述如下:

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 137
Y(i)= 33.5164 + 3.5079 * x(1)

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 137
Y(i)= 54.5702 + 2.3318 * x(2)

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 137
Y(i)= 43.1409 + 2.1176 * x(3)

总回归直线为:
Y=63.3333 + 1.5 * x

为了使直线的斜率估计得更加精确,把3部分的信息集中起来。求得共同斜率是: 2.4016
由此可得有共同斜率的3条回归直线依次是:

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 165

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 165
Y(i)= 48.728 + 2.4016 * x(i)

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 165

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 165
Y(i)= 53.2702 + 2.4016 * x(i)

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 165

Warning: Use of undefined constant i - assumed 'i' (this will throw an Error in a future version of PHP) in D:\ms4w\Apache\htdocs\dsan\C12_dyzxfc.php on line 165
Y(i)= 35.9344 + 2.4016 * x(i)

扣除协变量影响后的方差分析表
方差来源	平方和	自由度	均方	F 值	F 临界值
因子	707.2187	2	353.60935	31.0709	F05=3.49,F01=5.85
误差	227.6146	20	11.38073
总和	934.8333	22

协方差分析
			平方和		修正
方差来源	自由度	∑x^2	∑xy	∑y^2	平方和	自由度	均方	F值	F临界值
因子	2	545.25	659.875	1317.5833
误差	20	175.25	420.875	1238.375	227.6146	19	11.38
总和	22	720.5	1080.75	2555.96	934.8333	22
					707.2187	2	353.61	31.07	F05=3.49,F01=5.85

下面打印的是修正的均值
修正的Y(1)平均值= 94.9588
修正的Y(2)平均值= 99.501
修正的Y(3)平均值= 82.1652

回归系数检验表
方差来源	平方和	自由度	均方	F值	F临界值
回归	1010.7604	1	1010.7604	88.81	F0.05=4.35,F0.01=8.1
误差	227.6146	20	11.38073