Results 1 to 3 of 3

Math Help - Electricity Demand and Hypothesis Tests

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    36

    Electricity Demand and Hypothesis Tests

    Hello All,

    I am currently investigating domestic electricity use and whether or not the average (mean) per person use is affected by the number of people living in a household.

    I have monitoring data from several hundred households with household occupancies ranging from 1 to 6 people.

    My null hypothesis would be that there is no difference in the per person use of electricity for different household occupancy rates (although the per household use would obviously be higher as the occupancy rate increased in this case). The alternative hypothesis would be that there is a difference between the per person electricity use regardless of the household occupancy (at a guess the per person use is probably less as occupancy increases).

    Now I know how to calculate the test statistic to test for a significant difference between TWO sample means, however in this instance I have 6 sample means! So what I would like to know is if there is a way to simultaneously test for significant differences across all 6 data sets, or do I need to compare them in pairs of data sets? (Given the number of possible pairs between the 6 data sets this could take some time...)

    Any help appreciated.

    -Rob
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Mar 2008
    Posts
    934
    Thanks
    33
    Awards
    1
    I think what you want is "One-Way Analysis of Variance".

    Analysis of variance - Wikipedia, the free encyclopedia

    Disclaimer: I am not a statistician.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27
    Quote Originally Posted by awkward View Post
    I think what you want is "One-Way Analysis of Variance".
    I agree.

    You need to make sure the assumptions for ANOVA are satisfied then select a level of significance before conducting the test on the data.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. electricity
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: June 6th 2011, 12:43 PM
  2. Hypothesis tests
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: August 10th 2010, 11:55 AM
  3. um....electricity? help?
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: June 1st 2009, 09:49 PM
  4. hypothesis tests help
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 13th 2008, 05:25 AM
  5. binomial, hypothesis tests - hard one
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: May 30th 2006, 08:54 PM

Search Tags


/mathhelpforum @mathhelpforum