Results 1 to 6 of 6

Math Help - Hypothesis test for multiple categorical groups

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    37

    Hypothesis test for multiple categorical groups

    I am wanting to perform a hypothesis test to see if the type of house people live in has any significant effect on the probability of the property having a bath installed. I have four housetypes: detached, semi-detached, flats and terraced with bath ownership rates of 97%, 91%, 88% and 94%, and sample sizes of 170, 147, 15 and 104 respectively.

    My question is: what type of hypothesis test do I need to perform in order to determine whether or not the differences in bath ownership rates between the groups (house types) are significant? I'm used to dealing with numeric (interval) data for this sort of thing so would normally use t-tests or ANOVA but I don't think these are applicable to categorical data.

    Thanks
    -Rob
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Oct 2010
    Posts
    37

    Re: Hypothesis test for multiple categorical groups

    Do I need a chi-square test? Seems to fit the bill from what I've been reading.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2010
    Posts
    37

    Re: Hypothesis test for multiple categorical groups

    Actually isn't a chi-squared test an independance test for two categorical variables? And I have a set of categorical variables (house type) and a continuous variable (percentage of each house type that have a bath) so I take it chi-squared isn't suitable here?

    Oh I don't know it's all too confusing...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    May 2010
    Posts
    1,030
    Thanks
    28

    Re: Hypothesis test for multiple categorical groups

    i dont know what the "recommended" test is in this situation but as far as im aware the t-test is valid with categorical data.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Oct 2010
    Posts
    37

    Re: Hypothesis test for multiple categorical groups

    Hi SpringFan,

    Yes I thought of using a t-test but I have four groups (house types) not two so didn't think it was applicable. Also the dependant variable is a proportion (% of houses that have a bath) so this might make a difference, i.e. when I'm organising the data each house either has a bath or it doesn't (true or false, 1 or 0) so I'm not sure if this can be treated the same way as for example the number of people in each type of house (which would be continuous).
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Oct 2010
    Posts
    37

    Re: Hypothesis test for multiple categorical groups

    This video seems to imply I can use chi-squared:

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Categorical and binary responses in multiple linear regression
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 16th 2011, 02:59 PM
  2. hypothesis test ,test statistic wrong!
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: March 28th 2009, 04:59 AM
  3. Hypothesis Test
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: March 1st 2009, 06:27 PM
  4. Multiple Hypothesis Testing and Kernel Density Estimators
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: February 10th 2009, 05:19 PM
  5. hypothesis testing comparing 2 multiple regression models
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: October 4th 2006, 02:52 PM

Search Tags


/mathhelpforum @mathhelpforum