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  • How to make and interpreting bivariate statistics for population survey analysis?

    Dear experts

    Regarding statistics to population survey, could you please tell me which one of the syntax using for bivariate analysis [chi square] and what does different the meaning of each syntax below :

    Code:
    1.
    svy: tabulate sex malaria
    and output here :
    Number of strata   =         1                 Number of obs     =     259,885
    Number of PSUs     =     4,418                 Population size   =  30,152,652
                                                   Design df         =       4,417
     
    -------------------------------
    gender of |
    responden |       malaria     
    ts        |    no    yes  Total
    ----------+--------------------
         male | .4744  .0185  .4929
       female | .4909  .0162  .5071
              |
        Total | .9653  .0347      1
    -------------------------------
      Key:  cell proportion
     
      Pearson:
        Uncorrected   chi2(1)         =   58.3020
        Design-based  F(1, 4417)      =   49.6352     P = 0.0000
    Code:
    2.
    .  svy: tabulate sex malaria, row
    and output here :
     (running tabulate on estimation sample)
     
    Number of strata   =         1                 Number of obs     =     259,885
    Number of PSUs     =     4,418                 Population size   =  30,152,652
                                                   Design df         =       4,417
     
    -------------------------------
    gender of |
    responden |       malaria     
    ts        |    no    yes  Total
    ----------+--------------------
         male | .9625  .0375      1
       female |  .968   .032      1
              |
        Total | .9653  .0347      1
    -------------------------------
      Key:  row proportion
     
      Pearson:
        Uncorrected   chi2(1)         =   58.3020
        Design-based  F(1, 4417)      =   49.6352     P = 0.0000
    Code:
    3.
    . svy linearized : tabulate sex  malaria, obs row percent ci
    
    and output here :
     (running tabulate on estimation sample)
     
    Number of strata   =         1                 Number of obs     =     259,885
    Number of PSUs     =     4,418                 Population size   =  30,152,652
                                                   Design df         =       4,417
     
    -------------------------------------------------------
    gender of |
    responden |                   malaria                 
    ts        |            no            yes          Total
    ----------+--------------------------------------------
         male |         96.25          3.746            100
              | [96.01,96.48]  [3.518,3.987]              
              |       1.2e+05           5595        1.3e+05
              |
       female |          96.8          3.198            100
              | [96.57,97.02]  [2.979,3.431]              
              |       1.3e+05           4971        1.3e+05
              |
        Total |         96.53          3.468            100
              | [96.31,96.74]  [3.257,3.692]              
              |       2.5e+05        1.1e+04        2.6e+05
    -------------------------------------------------------
      Key:  row percentage
            [95% confidence interval for row percentage]
            number of observations
     
      Pearson:
        Uncorrected   chi2(1)         =   58.3020
        Design-based  F(1, 4417)      =   49.6352     P = 0.0000
    How to make odds ratio for cross-sectional design survey? Should I make syntax for prevalence ratio or may I take directly odds ratio in the syntax below?


    Code:
    4.
    . svy linearized : logistic sex malaria
    
    and output here :
     (running logistic on estimation sample)
     
    Survey: Logistic regression
     
    Number of strata   =         1                 Number of obs     =     259,885
    Number of PSUs     =     4,418                 Population size   =  30,152,652
                                                   Design df         =       4,417
                                                   F(   1,   4417)   =       49.54
                                                   Prob > F          =      0.0000
     
    ------------------------------------------------------------------------------
                 |             Linearized
             sex | Odds Ratio   Std. Err.      t    P>|t|     [95% Conf. Interval]
    -------------+----------------------------------------------------------------
         malaria |   .8488294   .0197667    -7.04   0.000     .8109481    .8884803
           _cons |   1.034818   .0042681     8.30   0.000     1.026484    1.043219
    ------------------------------------------------------------------------------
    Based on the table above [chi square and binary logistic].

    Where the sex variable which assumptions male is given code = 0 and female is given code = 1.
    Malaria prevalence differs by sex Males are more likely to have malaria than females (1.85% males versus 1.62% females, P = 0.000). Based on odds ratio (OR) female have the chances of getting malaria 0.85% or 0.85 times than male (as categorical reference)

    How do I interpret an odds ratio less than 1 in a logistic regression?
    May I will be written male with a chance of 1 / 0.85 times or 1.2 times to get malaria compared than female as well?

    or

    The odds of malaria in male decreased by (1 - 0.85 ) 15% compared those in a female. Whatever on the dependent variable decreases. For each unit increase, it decreases by a multiple of (1 - OR )


    Thank you in advance for your reply


    Sincerely yours,



    Hamzah
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