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puxinyue

新虫 (著名写手)

[求助] 关于四参数Logistic方程 已有1人参与

哪位大神帮忙求解
方程y=a+{(b-a)/(1+10^[(m-x)*c)]},已知x,y值,求解(1)a,b,c,m值(2)m值的95%置信区间.用SPSS如何操作?
x                          y
-30.0                      1.0
-0.698970004        0.908018198
-0.397940009        0.759213831
-0.22184875        0.552014559
-0.096910013        0.306860783
0.0                      0.253619654
0.301029996        0.0
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puxinyue

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求解答?着急

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4楼2014-10-10 21:22:28
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月只蓝

主管区长 (职业作家)

【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与,应助指数 +1
puxinyue: 金币+2, ★★★很有帮助 2014-10-10 18:48:12
puxinyue: 金币+3, ★★★很有帮助 2014-10-10 21:50:11
puxinyue: 金币+5, ★★★★★最佳答案 2014-10-10 23:52:33
Function y=a+((b-a)/(1+10^((m-x)*c)));
Data;
-30.0                      1.0
-0.698970004        0.908018198
-0.397940009        0.759213831
-0.22184875        0.552014559
-0.096910013        0.306860783
0.0                      0.253619654
0.301029996        0.0


均方差(RMSE): 0.0279229840234457
残差平方和(SSE): 0.00545785125741521
相关系数(R): 0.996922065945113
相关系数之平方(R^2): 0.993853605568273
决定系数(DC): 0.993369989658489
卡方系数(Chi-Square): 0.0333656730760132
F统计(F-Statistic): 808.485052991503

参数        最佳估算
----------        -------------
a                  0.987155395921295
b                  -0.0741458477381193
m                  -0.169875951845711
c                  2.36430519462335


SPSS参见:http://muchong.com/bbs/viewthread.php?tid=6166592&authorid=1122189
MATLAB、MS小问题、普通问题请发帖求助!时间精力有限,恕不接受无偿私信求助。
2楼2014-10-10 18:27:37
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puxinyue

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引用回帖:
2楼: Originally posted by 月只蓝 at 2014-10-10 18:27:37
Function y=a+((b-a)/(1+10^((m-x)*c)));
Data;
-30.0                      1.0
-0.698970004        0.908018198
-0.397940009        0.759213831
-0.22184875        0.552014559
-0.096910013        0. ...

非常感谢,我用1stopt算出来的结果和你的一致,但是spss置信区间求不出来。后面显示:
* NonLinear Regression.
MODEL PROGRAM  a=0.74 b=0.99 c=-1.07 m=2.36.
COMPUTE  PRED_=b+(a-b)/(1+10**((m-x)*c)).
NLR y
   /OUTFILE='C:\DOCUME~1\ADMINI~1\LOCALS~1\Temp\spss7720\SPSSFNLR.TMP'
   /PRED PRED_
   /CRITERIA SSCONVERGENCE 0 PCON 0.


Warnings
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 1  Current splitfile group: 1
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 2  Current splitfile group: 1
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 3  Current splitfile group: 1
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 4  Current splitfile group: 1
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 5  Current splitfile group: 1
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 6  Current splitfile group: 1
During the execution of the indicated command, an attempt was made to perform exponentiation for which the result would have been outside the range of the computer, i.e.  a magnitude smaller than 10**(-309) or greater than 10**308. The result has been set to the system-missing value.

>Command line: 160  Current case: 7  Current splitfile group: 1
Predicted values are missing, or case weights are missing or not positive for all cases.
This command is not executed.
关于四参数Logistic方程
QQ截图20141010185252.png

3楼2014-10-10 18:54:54
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puxinyue

新虫 (著名写手)

解决,谢谢

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5楼2014-10-10 21:49:39
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