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[ÇóÖú] Çó¹ãÒåÏßÐÔÄ£ÐÍGLMµÄº¯Êý±í´ïʽ ÒÑÓÐ1È˲ÎÓë

y=b0+b1*x1+b2*x2+b3*sin(x3)

y=[7.1;4.1;5.2;6.3];
x1=[1;2;3;4];
x2=[100;205;306;150];
x3=[8;10;12;5];

link º¯ÊýÊÇ normal£¬Çó glmfit µÄ±í´ïʽ£¬Çó b0, b1, b2, b3£¬Ð»Ð»¡£
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monitor2885: ½ð±Ò+10, ¡ï¡ï¡ïºÜÓаïÖú 2015-10-29 09:55:21
b0 = 3.3941
b1 = 1.5278
b2 = -0.0044
b3 = 2.6494
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2Â¥2015-10-29 09:52:11
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monitor2885

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ÒýÓûØÌû:
2Â¥: Originally posted by 512095518 at 2015-10-29 09:52:11
b0 = 3.3941
b1 = 1.5278
b2 = -0.0044
b3 = 2.6494

b = glmfit([x1 x2 x3],y,'normal','link','normal')
Õâ¸öÓï¾ä£¬ÎªºÎ²»¶Ôѽ£¿µÚÒ»¸öNormal´ú±ídistr£¬µÚ¶þ¸önormalÊÇlinkº¯Êý£¬²»¶ÔÂð£¿
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3Â¥2015-10-29 09:55:10
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y=[7.1;4.1;5.2;6.3];
x1=[1;2;3;4];
x2=[100;205;306;150];
x3=[8;10;12;5];
x=[x1 x2 x3];
f=@(b,x)b(4)+b(1)*x(:,1)+b(2)*x(:,2)+b(3)*sin(x(:,3))
b0=[0 0 0 0]';
opt=optimset('TolFun',1e-3,'TolX',1e-3);
[b R]=nlinfit(x,y,f,b0,opt)

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4Â¥2015-10-29 09:55:11
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monitor2885

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ÒýÓûØÌû:
4Â¥: Originally posted by 512095518 at 2015-10-29 09:55:11
ÎÒ²»Ì«Ã÷°×¾ÍÊÇlinkº¯ÊýÊÇnormalÊÇʲôÒâ˼£¬ÎÒÓÃmatlab·ÇÏßÐÔÄâºÏ°ïÄãÇó³ö²ÎÊý

y=;
x1=;
x2=;
x3=;
x=;
f=@(b,x)b(4)+b(1)*x(:,1)+b(2)*x(:,2)+b(3)*sin(x(:,3))
b0=';
opt=optimset('TolFun',1e-3,'Tol ...

Èç¹ûд³É b = glmfit([x1 x2 sin(x3)],y,'normal') ¾Í¶ÔÁË¡£ÎªÊ²Ã´²»Ð´LinkÄØ£¿Ææ¹Ö¡£Äã¿´matlab helpÀïÃæÄǸöÆû³µµÄÀý×Ó£¬Ð´linkÁËѽ
Use the glmfit function to carry out the associated regression:

b = glmfit(w,[poor total],'binomial','link','logit')
b =
  -13.3801
    0.0042
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5Â¥2015-10-29 09:57:40
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monitor2885: ½ð±Ò+10, ¡ï¡ï¡ïºÜÓаïÖú 2015-10-29 10:42:13
ÒýÓûØÌû:
5Â¥: Originally posted by monitor2885 at 2015-10-29 09:57:40
Èç¹ûд³É b = glmfit(,y,'normal') ¾Í¶ÔÁË¡£ÎªÊ²Ã´²»Ð´LinkÄØ£¿Ææ¹Ö¡£Äã¿´matlab helpÀïÃæÄǸöÆû³µµÄÀý×Ó£¬Ð´linkÁËѽ
Use the glmfit function to carry out the associated regression:

b = glmfit(w,,'bino ...

ʵ¼ÊÉÏb = glmfit([x1 x2 sin(x3)],y)Ò²¾Í¿ÉÒÔ³ö½á¹ûÁË£¬ÎÒ²ÂÏë¹ãÒåÏßÐÔÄ£ÐÍÖеÄY=b0+b1*x1+b2*x2+b3*x3£¬ÆäÖÐÓÃsin(x3)À´´úÌæx3Õâ²ÅÊÊÓÃÄ£ÐÍ£¬ËùÒÔÄã×ʼb = glmfit([x1 x2 x3],y,'normal','link','normal')ÕâÑùÖ±½ÓÓÃx3¾ÍÓÐÎÊÌ⣬²»·ûºÏÄ£ÐͼÙÉè

b = glmfit([x1 x2 sin(x3)],y,'normal','link','identity')Õâ¸ö¸ñʽҲÊÇ¿ÉÒÔµÄ

º¯Êý¸ñʽΪb = glmfit(X,y,distr,param1,val1,param2,val2,...)£¬distr can be any of the following strings: 'binomial', 'gamma', 'inverse gaussian', 'normal' (the default), and 'poisson'.

b = glmfit(X,y,distr,param1,val1,param2,val2,...) additionally allows you to specify optional parameter name/value pairs to control the model fit. Acceptable parameters are as follows.

´Ómatlabº¯Êý½âÊÍÖп´³ö£¬param²ÎÊýÊÇÀ´ÓÅ»¯distr·Ö²¼µÄ£¬ÄãҪעÒâдȫÁË£¬ÒªÃ´¾Í¶¼È±Ê¡Èú¯ÊýÄÚÔÚ±£³ÖÒ»Ö£¬ÓÃb = glmfit([x1 x2 sin(x3)],y)£¬ÒªÃ´¾Í¶¼Ð´È«ÁË£¬ÓÃb = glmfit([x1 x2 sin(x3)],y,'normal','link','identity')
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6Â¥2015-10-29 10:27:09
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monitor2885: ½ð±Ò+5, ¡ïÓаïÖú 2015-10-29 10:45:30
ÒýÓûØÌû:
3Â¥: Originally posted by monitor2885 at 2015-10-29 09:55:10
b = glmfit(,y,'normal','link','normal')
Õâ¸öÓï¾ä£¬ÎªºÎ²»¶Ôѽ£¿µÚÒ»¸öNormal´ú±ídistr£¬µÚ¶þ¸önormalÊÇlinkº¯Êý£¬²»¶ÔÂð£¿...

linkÕâ¸ö²ÎÊýÀïÃæÃ»ÓÐnormalÕâÒ»Öµ×÷ΪѡÏÄãÓÃidentityÀ´´úÌæÄãµÚ¶þ¸önormal¾Í¿ÉÒÔÁË
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7Â¥2015-10-29 10:30:31
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monitor2885

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ÒýÓûØÌû:
6Â¥: Originally posted by 512095518 at 2015-10-29 10:27:09
ʵ¼ÊÉÏb = glmfit(,y)Ò²¾Í¿ÉÒÔ³ö½á¹ûÁË£¬ÎÒ²ÂÏë¹ãÒåÏßÐÔÄ£ÐÍÖеÄY=b0+b1*x1+b2*x2+b3*x3£¬ÆäÖÐÓÃsin(x3)À´´úÌæx3Õâ²ÅÊÊÓÃÄ£ÐÍ£¬ËùÒÔÄã×ʼb = glmfit(,y,'normal','link','normal')ÕâÑùÖ±½ÓÓÃx3¾ÍÓÐÎÊÌ⣬²»·ûºÏ ...

Äã¿´stats£¬ÄĸöÊÇsignificance?
stats is a structure with the following fields:
beta ¡ª Coefficient estimates b
dfe ¡ª Degrees of freedom for error
s ¡ª Theoretical or estimated dispersion parameter
sfit ¡ª Estimated dispersion parameter
se ¡ª Vector of standard errors of the coefficient estimates b
coeffcorr ¡ª Correlation matrix for b
covb ¡ª Estimated covariance matrix for B
t ¡ª t statistics for b
p ¡ª p-values for b
resid ¡ª Vector of residuals
residp ¡ª Vector of Pearson residuals
residd ¡ª Vector of deviance residuals
resida ¡ª Vector of Anscombe residuals
Retirement
8Â¥2015-10-29 10:44:36
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512095518

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ÒýÓûØÌû:
8Â¥: Originally posted by monitor2885 at 2015-10-29 10:44:36
Äã¿´stats£¬ÄĸöÊÇsignificance?
stats is a structure with the following fields:
beta ¡ª Coefficient estimates b
dfe ¡ª Degrees of freedom for error
s ¡ª Theoretical or estimated dispersion parame ...

ÄãÊÇÒªÇóR2ô£¬ÎҸоõÄÇÀïÃæ¶¼²»ÊÇ£¬matlabÀïÃæÃ»ÓÐÖ±½ÓÇóR2µÄÃüÁÐèÒª×Ô¼ºÐ´¡£²»¹ý·½·¨Ò²ºÜ¼òµ¥¡£
R2¾ÍÊǾö¶¨ÏµÊý£¨coefficient of determination£©£¬ÓеĽ̲ÄÉÏ·­ÒëΪÅж¨ÏµÊý£¬Ò²³ÆÎªÄâºÏÓŶȡ£

ÄãԭʼÊýΪb£¬ÄâºÏ·½³ÌÇóµÃÊýΪa£¬Ôò
R2 =sum((a - mean(b)).^2)/sum((b - mean(b)).^2)
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9Â¥2015-10-29 10:57:14
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monitor2885

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ÒýÓûØÌû:
9Â¥: Originally posted by 512095518 at 2015-10-29 10:57:14
ÄãÊÇÒªÇóR2ô£¬ÎҸоõÄÇÀïÃæ¶¼²»ÊÇ£¬matlabÀïÃæÃ»ÓÐÖ±½ÓÇóR2µÄÃüÁÐèÒª×Ô¼ºÐ´¡£²»¹ý·½·¨Ò²ºÜ¼òµ¥¡£
R2¾ÍÊǾö¶¨ÏµÊý£¨coefficient of determination£©£¬ÓеĽ̲ÄÉÏ·­ÒëΪÅж¨ÏµÊý£¬Ò²³ÆÎªÄâºÏÓŶȡ£

ÄãԭʼÊý ...

ÏÔÖøÐÔ¼ìÑ飬signif=0.1,0.05,0.001...
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10Â¥2015-10-29 11:01:46
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