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  • SEM standardised path coefficients and standardised direct effects don't match

    Hi all,

    Using stata 13.1, I am use SEM builder to estimate some models. Using the teffects command the direct effects and path coefficients match when i run the same model to report unstandardised parameters. see below. The path coefficient and direct effects differ when I use sem to estimate standardised forms of the parameters. Both the so called standardised version of the direct effect and the unstandardised version of the direct effect seem to match despite the standardised option being invoked. Does this mean the standardised option does not work or is there some error on my part?

    see output code below

    any suggestions?
    Thanks in advance
    Cheers
    Rob


    the unstandardised version
    sem (ok_to_approach_adult_sum -> sex, ) (ok_to_approach_adult_sum -> intent_ord, ) (ok_to_approach_adult_sum -> ser_vig, ) (mh_apply_sum -
    > > sex, ) (mh_apply_sum -> intent_ord, ) (mh_apply_sum -> ser_vig, ) (mh_good_info_sum -> sex, ) (mh_good_info_sum -> intent_ord, ) (mh_goo
    > d_info_sum -> ser_vig, ) (sex -> intent_ord, ) (sex -> ser_vig, ) (ser_vig -> intent_ord, ), group() vce(robust) nocapslatent
    (261 observations with missing values excluded)

    Endogenous variables

    Observed: sex intent_ord ser_vig

    Exogenous variables

    Observed: ok_to_approach_adult_sum mh_apply_sum mh_good_info_sum

    Fitting target model:

    Iteration 0: log pseudolikelihood = -16203.241
    Iteration 1: log pseudolikelihood = -16203.241

    Structural equation model Number of obs = 2547
    Estimation method = ml
    Log pseudolikelihood= -16203.241

    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| [95% Conf. Interval]
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | -.0514386 .0143711 -3.58 0.000 -.0796054 -.0232717
    mh_apply_sum | .0435184 .0167046 2.61 0.009 .0107779 .0762589
    mh_good_info_sum | -.0052946 .0126362 -0.42 0.675 -.030061 .0194719
    _cons | 1.532323 .0527948 29.02 0.000 1.428847 1.635799
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .1818926 .0315446 5.77 0.000 .1200664 .2437189
    ser_vig | .211412 .0261006 8.10 0.000 .1602558 .2625683
    ok_to_approach_adult_sum | .1993759 .0252529 7.90 0.000 .1498811 .2488707
    mh_apply_sum | .0707564 .0299727 2.36 0.018 .0120109 .1295019
    mh_good_info_sum | .0714516 .0214399 3.33 0.001 .0294302 .113473
    _cons | 1.185845 .1315428 9.01 0.000 .9280261 1.443665
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | .1530228 .0264429 5.79 0.000 .1011957 .20485
    ok_to_approach_adult_sum | -.0096945 .0196207 -0.49 0.621 -.0481503 .0287614
    mh_apply_sum | .0722576 .0250326 2.89 0.004 .0231947 .1213205
    mh_good_info_sum | .0420562 .0187252 2.25 0.025 .0053555 .078757
    _cons | 2.618634 .0929715 28.17 0.000 2.436414 2.800855
    ---------------------------+----------------------------------------------------------------
    var(e.sex)| .2486054 .0007342 .2471706 .2500485
    var(e.intent_ord)| .6214013 .0188472 .585538 .6594611
    var(e.ser_vig)| .4423899 .0128162 .4179704 .4682361
    --------------------------------------------------------------------------------------------
    .
    . estat teffects


    Direct effects
    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| [95% Conf. Interval]
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | -.0514386 .0143711 -3.58 0.000 -.0796054 -.0232717
    mh_apply_sum | .0435184 .0167046 2.61 0.009 .0107779 .0762589
    mh_good_info_sum | -.0052946 .0126362 -0.42 0.675 -.030061 .0194719
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .1818926 .0315446 5.77 0.000 .1200664 .2437189
    ser_vig | .211412 .0261006 8.10 0.000 .1602558 .2625683
    ok_to_approach_adult_sum | .1993759 .0252529 7.90 0.000 .1498811 .2488707
    mh_apply_sum | .0707564 .0299727 2.36 0.018 .0120109 .1295019
    mh_good_info_sum | .0714516 .0214399 3.33 0.001 .0294302 .113473
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | .1530228 .0264429 5.79 0.000 .1011957 .20485
    ok_to_approach_adult_sum | -.0096945 .0196207 -0.49 0.621 -.0481503 .0287614
    mh_apply_sum | .0722576 .0250326 2.89 0.004 .0231947 .1213205
    mh_good_info_sum | .0420562 .0187252 2.25 0.025 .0053555 .078757
    --------------------------------------------------------------------------------------------


    Indirect effects
    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| [95% Conf. Interval]
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | 0 (no path)
    mh_apply_sum | 0 (no path)
    mh_good_info_sum | 0 (no path)
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .0323509 .0055903 5.79 0.000 .021394 .0433077
    ser_vig | 0 (no path)
    ok_to_approach_adult_sum | -.0130699 .0054551 -2.40 0.017 -.0237617 -.0023781
    mh_apply_sum | .0245997 .0069411 3.54 0.000 .0109953 .038204
    mh_good_info_sum | .0077569 .0052014 1.49 0.136 -.0024377 .0179514
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | 0 (no path)
    ok_to_approach_adult_sum | -.0078713 .0025843 -3.05 0.002 -.0129364 -.0028062
    mh_apply_sum | .0066593 .0028033 2.38 0.018 .0011649 .0121537
    mh_good_info_sum | -.0008102 .0019387 -0.42 0.676 -.0046101 .0029897
    --------------------------------------------------------------------------------------------


    Total effects
    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| [95% Conf. Interval]
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | -.0514386 .0143711 -3.58 0.000 -.0796054 -.0232717
    mh_apply_sum | .0435184 .0167046 2.61 0.009 .0107779 .0762589
    mh_good_info_sum | -.0052946 .0126362 -0.42 0.675 -.030061 .0194719
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .2142435 .0320311 6.69 0.000 .1514636 .2770234
    ser_vig | .211412 .0261006 8.10 0.000 .1602558 .2625683
    ok_to_approach_adult_sum | .186306 .0256404 7.27 0.000 .1360517 .2365603
    mh_apply_sum | .0953561 .0306417 3.11 0.002 .0352995 .1554127
    mh_good_info_sum | .0792085 .0219232 3.61 0.000 .0362398 .1221771
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | .1530228 .0264429 5.79 0.000 .1011957 .20485
    ok_to_approach_adult_sum | -.0175658 .0197631 -0.89 0.374 -.0563006 .0211691
    mh_apply_sum | .0789169 .025283 3.12 0.002 .0293631 .1284708
    mh_good_info_sum | .041246 .0190141 2.17 0.030 .003979 .078513
    --------------------------------------------------------------------------------------------



    the standardised version
    . sem (ok_to_approach_adult_sum -> sex, ) (ok_to_approach_adult_sum -> intent_ord, ) (ok_to_approach_adult_sum -> ser_vig, ) (mh_apply_sum -
    > > sex, ) (mh_apply_sum -> intent_ord, ) (mh_apply_sum -> ser_vig, ) (mh_good_info_sum -> sex, ) (mh_good_info_sum -> intent_ord, ) (mh_goo
    > d_info_sum -> ser_vig, ) (sex -> intent_ord, ) (sex -> ser_vig, ) (ser_vig -> intent_ord, ), group() vce(robust) standardized nocapslatent
    (261 observations with missing values excluded)

    Endogenous variables

    Observed: sex intent_ord ser_vig

    Exogenous variables

    Observed: ok_to_approach_adult_sum mh_apply_sum mh_good_info_sum

    Fitting target model:

    Iteration 0: log pseudolikelihood = -16203.241
    Iteration 1: log pseudolikelihood = -16203.241

    Structural equation model Number of obs = 2547
    Estimation method = ml
    Log pseudolikelihood= -16203.241

    --------------------------------------------------------------------------------------------
    | Robust
    Standardized | Coef. Std. Err. z P>|z| [95% Conf. Interval]
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | -.0970681 .027119 -3.58 0.000 -.1502204 -.0439159
    mh_apply_sum | .0704292 .0270342 2.61 0.009 .0174431 .1234152
    mh_good_info_sum | -.0093392 .0222891 -0.42 0.675 -.053025 .0343466
    _cons | 3.064699 .1056623 29.00 0.000 2.857605 3.271793
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .1066382 .0183578 5.81 0.000 .0706575 .1426188
    ser_vig | .1670085 .0202594 8.24 0.000 .1273008 .2067162
    ok_to_approach_adult_sum | .2205758 .0277305 7.95 0.000 .1662251 .2749266
    mh_apply_sum | .0671341 .0283436 2.37 0.018 .0115817 .1226865
    mh_good_info_sum | .0738901 .0220302 3.35 0.001 .0307118 .1170684
    _cons | 1.390475 .1666326 8.34 0.000 1.063881 1.717069
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | .1135651 .0192003 5.91 0.000 .0759332 .151197
    ok_to_approach_adult_sum | -.0135769 .0274614 -0.49 0.621 -.0674003 .0402465
    mh_apply_sum | .0867865 .0297777 2.91 0.004 .0284234 .1451496
    mh_good_info_sum | .0550549 .0245273 2.24 0.025 .0069822 .1031275
    _cons | 3.88688 .1680718 23.13 0.000 3.557465 4.216295
    ---------------------------+----------------------------------------------------------------
    var(e.sex)| .9944561 .0029265 .9887368 1.000209
    var(e.intent_ord)| .8543627 .0143096 .8267718 .8828743
    var(e.ser_vig)| .9746703 .0066683 .9616879 .9878279
    --------------------------------------------------------------------------------------------
    .
    . estat teffects, stand


    Direct effects
    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| Std. Coef.
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | -.0514386 .0143711 -3.58 0.000 -.0970681
    mh_apply_sum | .0435184 .0167046 2.61 0.009 .0704292
    mh_good_info_sum | -.0052946 .0126362 -0.42 0.675 -.0093392
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .1818926 .0315446 5.77 0.000 .1066382
    ser_vig | .211412 .0261006 8.10 0.000 .1670085
    ok_to_approach_adult_sum | .1993759 .0252529 7.90 0.000 .2205758
    mh_apply_sum | .0707564 .0299727 2.36 0.018 .0671341
    mh_good_info_sum | .0714516 .0214399 3.33 0.001 .0738901
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | .1530228 .0264429 5.79 0.000 .1135651
    ok_to_approach_adult_sum | -.0096945 .0196207 -0.49 0.621 -.0135769
    mh_apply_sum | .0722576 .0250326 2.89 0.004 .0867865
    mh_good_info_sum | .0420562 .0187252 2.25 0.025 .0550549
    --------------------------------------------------------------------------------------------


    Indirect effects
    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| Std. Coef.
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | 0 (no path) 0
    mh_apply_sum | 0 (no path) 0
    mh_good_info_sum | 0 (no path) 0
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .0323509 .0055903 5.79 0.000 .0189663
    ser_vig | 0 (no path) 0
    ok_to_approach_adult_sum | -.0130699 .0054551 -2.40 0.017 -.0144596
    mh_apply_sum | .0245997 .0069411 3.54 0.000 .0233403
    mh_good_info_sum | .0077569 .0052014 1.49 0.136 .0080216
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | 0 (no path) 0
    ok_to_approach_adult_sum | -.0078713 .0025843 -3.05 0.002 -.0110236
    mh_apply_sum | .0066593 .0028033 2.38 0.018 .0079983
    mh_good_info_sum | -.0008102 .0019387 -0.42 0.676 -.0010606
    --------------------------------------------------------------------------------------------


    Total effects
    --------------------------------------------------------------------------------------------
    | Robust
    | Coef. Std. Err. z P>|z| Std. Coef.
    ---------------------------+----------------------------------------------------------------
    Structural |
    sex <- |
    ok_to_approach_adult_sum | -.0514386 .0143711 -3.58 0.000 -.0970681
    mh_apply_sum | .0435184 .0167046 2.61 0.009 .0704292
    mh_good_info_sum | -.0052946 .0126362 -0.42 0.675 -.0093392
    -------------------------+----------------------------------------------------------------
    intent_ord <- |
    sex | .2142435 .0320311 6.69 0.000 .1256045
    ser_vig | .211412 .0261006 8.10 0.000 .1670085
    ok_to_approach_adult_sum | .186306 .0256404 7.27 0.000 .2061162
    mh_apply_sum | .0953561 .0306417 3.11 0.002 .0904744
    mh_good_info_sum | .0792085 .0219232 3.61 0.000 .0819117
    -------------------------+----------------------------------------------------------------
    ser_vig <- |
    sex | .1530228 .0264429 5.79 0.000 .1135651
    ok_to_approach_adult_sum | -.0175658 .0197631 -0.89 0.374 -.0246005
    mh_apply_sum | .0789169 .025283 3.12 0.002 .0947848
    mh_good_info_sum | .041246 .0190141 2.17 0.030 .0539943
    --------------------------------------------------------------------------------------------



  • #2
    In the -estat teffects- output, the standardized coefficient appears in the rightmost column of the table. It's right there in what you posted.

    Comment


    • #3
      Ah, a silly mistake on my part. Thank you for your help

      Comment

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