Re: [Boost-users] Confused with the example students_t_single_sample.cpp

Subject: Re: [Boost-users] Confused with the example students_t_single_sample.cpp
From: lizy10b_at_[hidden]
Date: 2014-02-08 05:26:42

Dear John Maddock, 
Thanks very much for your reply.

Best regards
Zhiyu Li




lizy10b_at_[hidden]

From: John Maddock
Date: 2014-01-18 02:02
To: boost-users_at_[hidden]
Subject: Re: [Boost-users] Confused with the example students_t_single_sample.cpp
> The original text:
> Hypothesis 3: the sample mean is less than the true mean
> Test 3: Reject if CDF of t > significance level, cdf(dist, t) > alpha
>
> I think p-value should be the integral from t to +Infinite: 
> cdf(complement(dist, t)),
> So reject Hypothesis 3 when  cdf(complement(dist, t)) < alpha, or say 
> cdf(dist, t) > 1-alpha
>
> The original text:
> Hypothesis 4: the sample mean is greater than the true mean
> Reject if complement of CDF of t > significance level: 
> cdf(complement(dist, t)) > alpha
>
> Similarly, the p-value should be the integral from -Infinite to t: 
> cdf(dist, t),
> so reject Hypothesis 4 when cdf(dist, t) < alpha
>
> Is that right?

It's been a while since I've done any stats so it took me a while to get my 
head around everything again, but yes you are quite right!

I'll update the docs and examples shortly, please do let me know if you spot 
anything else,

Regards, John. 

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