Using gamfit Function & LR Hypothesis Test in MATLAB

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Hello,
I fit my data to gamma distribution using the gamfit function of MATLAB.
The gamfit function returns MLEs and 95% percent confidence intervals as follows:
• a = 2; b = 4;data = gamrnd(a,b,100,1);
• [p,ci] = gamfit(data)
• p =
• 2.1990 3.7426
• ci =
• 1.6840 2.8298
• 2.7141 4.6554
I am interested in finding the standard error of the coefficients rather than the confidence interval.
I want to know how to compute the standard errors based on the confidence interval??

Moreover, likelihood ratio hypothesis test were used to test hypotheses such as p(1)=0.5, but I don’t know how to obtaine and input the NullLLF and BaseLLF values

Syntax likelihood ratio hypothesis test
[H,pValue,Ratio,CriticalValue]=lratiotest(BaseLLF,NullLLF,DoF,Alpha)
 
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From a quick google search, you can find that the standard error = (upper limit – lower limit) / 3.92.
 
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