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From |
Nick Bornschein <[email protected]> |

To |
[email protected] |

Subject |
Re: st: calculate maximum density of normal distribuion |

Date |
Fri, 22 Nov 2013 16:36:22 +0100 |

Am 22.11.13 16:34, schrieb Nick Cox:

If you know the mean, that fixes the position of the maximum; why do you need any other information? Nick [email protected] On 22 November 2013 15:32, Nick Bornschein <[email protected]> wrote:Thanks, that worked!! And now is the question: can I tell the xline (which is the mean) to end at the maximum point somehow? Am 22.11.13 16:29, schrieb Maarten Buis:The mean won't do anything for the maximum, but the maximum is a function of the standard deviation. It has to be otherwise the it would not integrate to 1. So -normalden(0,$sd2)- will give you the maximum. -- Maarten On Fri, Nov 22, 2013 at 4:23 PM, Nick Bornschein <[email protected]> wrote:Well, no. The maximum density of a normal distribution of mean = 1 and sd = 2 is around 0.2 (looking at the graph) and with mean = 5 and sd = 3 it's around 1.125...so it's not always the same when I change the given mean and sd. Am 22.11.13 16:12, schrieb Nick Cox:That density is a constant, namely . di normalden(0) .39894228 Whatever mean a normal has just shifts the distribution left or right, so makes no difference to what the peak density is; hence without loss of generality we can focus on mean 0. Whatever SD a normal has, 0/SD is still 0. Correct me if I'm wrong.... Nick [email protected] On 22 November 2013 15:00, Nick Bornschein <[email protected]> wrote:Hello, I'm calculating a normal distribution with: set obs 10000 set seed 2211 gen normal2 = rnormal($mean2, $sd2) by given mean and sd which I define via global macro. Is it possible to calculate the maximum density at the mean point? And more interesting: is it possible to define "xline" until a given point at the y axis (the maximum density as you can imagine) because I want to add the mean line with going higher than the maximum density? Best -Nick * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/faqs/resources/statalist-faq/ * http://www.ats.ucla.edu/stat/stata/* * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/faqs/resources/statalist-faq/ * http://www.ats.ucla.edu/stat/stata/* * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/faqs/resources/statalist-faq/ * http://www.ats.ucla.edu/stat/stata/* * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/faqs/resources/statalist-faq/ * http://www.ats.ucla.edu/stat/stata/

**Follow-Ups**:**Re: st: calculate maximum density of normal distribuion***From:*Nick Cox <[email protected]>

**References**:**st: calculate maximum density of normal distribuion***From:*Nick Bornschein <[email protected]>

**Re: st: calculate maximum density of normal distribuion***From:*Nick Cox <[email protected]>

**Re: st: calculate maximum density of normal distribuion***From:*Nick Bornschein <[email protected]>

**Re: st: calculate maximum density of normal distribuion***From:*Maarten Buis <[email protected]>

**Re: st: calculate maximum density of normal distribuion***From:*Nick Bornschein <[email protected]>

**Re: st: calculate maximum density of normal distribuion***From:*Nick Cox <[email protected]>

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