Query about syntax for Schmidt-Leiman Transformation

[Matt Fuller-2]

Hello all.

I am currently conducting a Schmidt-Leiman transformation for  
higher-order factor analysis and am having some difficulty obtaining  
the output. My use and knowledge of syntax in SPSS is limited and I  
thought, as a first resort, I may inquire here if anyone can spot the  
problem in my syntax (presented below and attached). [Note: this  
syntax, derived from an article by Wolff and Preising (2005) in  
Behaviour Research Methods works perfectly for their example but  
incompletely for my own.]

Unfortunately, when I run this syntax, the output only gives me  
communalities for the first 20 variables. I am not sure why this is  
the case.

Help greatly appreciated, Matt.



* Schmid-Leiman Solution for 2 level higher-order Factor analysis.
Matrix.
* ENTER YOUR SPECIFICATIONS HERE.
* Enter first-order pattern matrix.
Compute F1={0.929768979, 0.070437071, 0.023342211, -0.031003209, 0.077697724;
                       
0.893721341, -0.037590435, 0.014236436, -0.123748484, 0.105052139;
                       
0.83678639, -0.041437465, 0.042134208, 0.003487664, -0.004795598;
                       
0.832440766, 0.048623171, 0.105489561, -0.040659122, 0.085502643;
                 0.829409735, 0.090478409, -0.039036501, 0.034094719, 0.150942017;
                 0.808408521, -0.05030782, 0.052183572, 0.059380664, -0.017087293;
                 0.794174772, -0.029592837, 0.12433212, 0.03268405, -0.10265853;
                 0.738278449, 0.141841983, 0.00323001, -0.121982791, -0.108192362;
                 0.715482804, 0.011483825, -0.027642039, -0.008551353, -0.211650475;
                 0.704568156, 0.016670586, 0.056855586, 0.045006538, -0.212703309;
                 0.682878309, -0.009770111, 0.28405449, 0.068257407, -0.05435771;
                 0.679774442, -0.062700096, 0.095278675, 0.051087949, -0.086514957;
                 0.672669127, 0.070741455, 0.11499865, -0.046386447, -0.221176056;
                 0.667228697, 0.071202062, -0.031999554, 0.147478398, -0.023661933;
                 0.621018553, 0.091820715, 0.221134258, 0.100021381, -0.071477797;
                 0.614184439, 0.066835344, 0.087838398, 0.080808737, -0.199796359;
          0.612762808, 0.095447456, 0.034918515, 0.110281467, 0.08462564;
                 0.596102644, -0.03095136, -0.00201852, 0.061536698, -0.33562254;
                 0.549925428, 0.025973094, -0.005067543, 0.131895808, 0.144016083;
                 0.536093647, 0.141448891, 0.146640274, 0.124170319, -0.024626198;
                 0.506088992, -0.033666666, -0.001669395, 0.046309258, -0.454507204;
                 0.498075141, 0.013872309, -0.10885918, 0.077671257, -0.398873637;
                 0.491259386, 0.070648257, 0.362903736, 0.168862314, 0.078222301;
                 0.473466629, 0.005303758, 0.103551278, 0.135820203, -0.117243861;
                 0.451181677, 0.148019961, 0.3063622, 0.104236606, -0.160420059;
                 0.44949463, 0.061865916, 0.152604201, 0.118073339, -0.259274022;
                 0.448271527, 0.057276975, 0.069429094, 0.196138046, -0.302385835;
                 0.441278082, -0.016732654, -0.165357102, 0.050981186, -0.105594824;
                 0.372059316, 0.143062588, 0.149719062, 0.084850727, -0.233577388;
                 0.294799116, 0.019743931, 0.205908903, -0.127051608, -0.194869273;
                 0.291303209, 0.175314589, -0.138150987, -0.052966533, -0.276976361;
                 0.051340263, 0.859971633, -0.028102002, -0.181239335, -0.018060006;
                 0.049269878, 0.798633564, -0.151224086, 0.283981411, 0.014180584;
                 0.112522688, 0.79019034, -0.299883643, -0.019312022, 0.091239042;
                -0.062649107, 0.784424706, -0.077893563, 0.122824531, 0.07277096;
                 0.201876902, 0.738874829, 0.028276781, -0.282121548, -0.001817608;
                 0.007256071, 0.705496997, 0.038491515, 0.130323939, -0.081993413;
                 0.017346303, 0.681977416, -0.012270661, 0.115874427, -0.135846956;
                 0.015079376, 0.651009563, 0.120112376, 0.076795637, -0.069999399;
                 0.028556892, 0.591885068, 0.294061875, -0.100796783, -0.178412997;
                 0.113671764, 0.573156102, -0.018546419, -0.016499915, 0.169393136;
                 0.059109467, 0.560073187, 0.099376298, -0.076723588, -0.208692235;
                 0.040704652, 0.552216182, 0.188498422, 0.222664922, -0.27312236;
                -0.110329328, 0.548895367, 0.17999264, -0.006143955, 0.134072686;
                 0.067940487, 0.547146645, 0.142229481, 0.2147295, -0.211515004;
                -0.013266606, 0.545361119, 0.098026072, 0.45409551, -0.031491936;
                 0.032362421, 0.516921256, 0.187754056, 0.220293264, -0.294936137;
                 0.012235931, 0.48714161, 0.486612055, -0.21474517, -0.025465214;
                -0.027741092, 0.462345113, 0.085130282, 0.082813962, -0.071520071;
                -0.031145186, 0.459836876, 0.13108185, 0.209562293, -0.294059431;
                 0.094452022, 0.437925799, 0.259173827, -0.013808867, -0.224961573;
                 0.130324169, 0.41607347, 0.08525794, 0.412044073, -0.172559454;
                 0.089138142, 0.332628804, -0.051500194, 0.175731055, 0.046435234;
                -0.062680791, -0.044870429, 0.701278638, 0.004228009, -0.094198362;
                 0.133322558, -0.074077107, 0.645859721, 0.067403475, -0.039936534;
                 0.066853586, -0.019079326, 0.603015446, 0.184859791, 0.095156317;
                 0.180336801, 0.038546973, 0.556426526, 0.046591223, 0.114189739;
                 0.036385519, 0.237337158, 0.551161305, -0.135096911, 0.016930026;
                 0.138864563, -0.060552653, 0.550073135, 0.134649776, -0.002154831;
                       
0.083159561, -0.00494762, 0.504456239, 0.056695359, -0.034014707;
                 0.019762849, 0.19906486, 0.449226362, 0.272710713, -0.245670643;
                -0.018739548, 0.438209595, 0.444921451, -0.072096516, 0.084559305;
                -0.059733988, 0.251261, 0.435869984, 0.177897505, -0.108978081;
                 0.185749172, 0.200288252, 0.408960146, -0.035042903, -0.268257666;
                 0.057774156, 0.112368687, 0.305586574, 0.125707757, -0.206850512;
                 0.234575412, -0.070695517, 0.291011426, -0.21881141, -0.263419624;
                 0.205664292, -0.038696033, 0.239546927, 0.068741834, -0.233603453;
                 0.131522618, 0.11775963, 0.096545341, 0.594010619, -0.024543746;
                 0.180979343, -0.023561219, 0.150279397, 0.559304749, 0.066433014;
                 0.2576374, 0.066656784, 0.0853576, 0.541330615, -0.039216255;
                 0.425413272, 0.049384441, -0.033640897, -0.007143601, -0.529796375;
                 0.278412667, 0.14879198, 0.119739896, 0.106365903, -0.489063961;
                 0.306119857, 0.009130316, 0.097404029, 0.072160541, -0.478959818;
                 0.373257768, 0.144919141, 0.122385527, 0.084732005, -0.411342454;
                 0.258747111, -0.118269424, 0.284303916, -0.075041911, -0.395704052;
                 0.239899202, 0.134491616, -0.041590461, 0.183603276, -0.285043821}.
* enter first-order variable names.
compute varname={"v001"; "v002"; "v003"; "v004"; "v005"; "v006";  
"v007"; "v008"; "v009"; "v010";
"v011"; "v012"; "v013"; "v014"; "v015"; "v016"; "v017"; "v018";  
"v019"; "v020"; "v021"; "v022";
"v023"; "v024"; "v025"; "v026"; "v027"; "v028"; "v029"; "v030";  
"v031"; "v032"; "v033"; "v034";
"v035"; "v036"; "v037"; "v038"; "v039"; "v040"; "v041"; "v042";  
"v043"; "v044"; "v045"; "v046";
"v047"; "v048"; "v049"; "v050"; "v051"; "v052"; "v053"; "v054";  
"v055"; "v056"; "v057"; "v058";
"v059"; "v060"; "v061"; "v062"; "v063"; "v064"; "v065"; "v066";  
"v067"; "v068"; "v069"; "v070";
"v071"; "v072"; "v073"; "v074"; "v075"; "v076"}.
*enter first-order factor names.
compute f1name={"factor1", "factor2", "factor3", "factor4", "factor5"}.
* enter second-order factor loadings.
Compute F2={0.828; -.624; .587; .505; .441}.
*enter second-order factor names.
compute f2name={"General1"}.

* END OF INPUT.
print F1/Format"f5.3" /rnames=varname /cnames=f1name.
compute C1=ncol(F1).
print F2/format"f5.3" /rnames=f1name /cnames=f2name.
compute C2=ncol(F2).
Compute zw1=1-rssq(f2).
Compute Unique=Mdiag (zw1).
compute zw1=sqrt(unique).
compute B={F2,zw1}.
Compute SLP=F1*B.
compute hrtot=rssq(SLP).
compute C1end=C1+C2.
compute C1start=C2+1.
compute zw2=slp(:,C1start:C1end).
compute HR1st=rssq(zw2).
compute zw3=SLP(:,1:C2).
compute HR2nd=rssq(zw3).
compute HCtot=cssq(SLP).
compute Htot=mssq(SLP).
compute Htot100=HCtot &/ Htot.
compute Htotsum=msum(HCtot) / Htot.
compute zw4=Htot100(1:C2).
compute zw5=Htot100(C1start:C1end).
compute EXG=rsum(zw4).
compute EXF=rsum(zw5).
compute results1={SLP, HRtot, HR2nd, HR1st}.
compute slpname={f2name, f1name, "H² total", "H² G", "H² 1st"}.
print results1/ format "f5.3" /title="factor loadings of Schmid-Leiman  
Solution and h²" /rnames = varname /cnames=slpname.
compute results2={HCtot, Htot;
                  Htot100, Htotsum}.
compute fixedn2={f2name,f1name,"total"}.
print results2 /format"f5.3"/ title="sum of squared loadings"  
/rlabels="H²" "%" /cnames=fixedn2.
print EXG /format"f5.3"/ title="percentage of exracted variance  
explained by general factors (%)".
print EXF /format"f5.3"/ title="percentage of extracted variance  
explained by first order factors (%)".
        End Matrix.

[Spousta Jan]

Well, the first suspicion is that the output is complete but you do not see the hidden rows because the output text is too long. SPSS hides text outputs beyond a limit.

Try to double click the output in the output window. It opens in a window and you can slide through the whole text. Another possibility is to select it and copy-paste into Word.

HTH

Jan

-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Matt Fuller
Sent: Wednesday, October 08, 2008 9:37 AM
To: [hidden email]
Subject: Query about syntax for Schmidt-Leiman Transformation

Hello all.

I am currently conducting a Schmidt-Leiman transformation for higher-order factor analysis and am having some difficulty obtaining the output. My use and knowledge of syntax in SPSS is limited and I thought, as a first resort, I may inquire here if anyone can spot the problem in my syntax (presented below and attached). [Note: this syntax, derived from an article by Wolff and Preising (2005) in Behaviour Research Methods works perfectly for their example but incompletely for my own.]

Unfortunately, when I run this syntax, the output only gives me communalities for the first 20 variables. I am not sure why this is the case.

Help greatly appreciated, Matt.



* Schmid-Leiman Solution for 2 level higher-order Factor analysis.
Matrix.
* ENTER YOUR SPECIFICATIONS HERE.
* Enter first-order pattern matrix.
Compute F1={0.929768979,        0.070437071,    0.023342211,    -0.031003209,   0.077697724;

0.893721341,    -0.037590435,   0.014236436,    -0.123748484,   0.105052139;

0.83678639,     -0.041437465,   0.042134208,    0.003487664,    -0.004795598;

0.832440766,    0.048623171,    0.105489561,    -0.040659122,   0.085502643;
                 0.829409735,   0.090478409,    -0.039036501,   0.034094719,    0.150942017;
                 0.808408521,   -0.05030782,    0.052183572,    0.059380664,    -0.017087293;
                 0.794174772,   -0.029592837,   0.12433212,     0.03268405,     -0.10265853;
                 0.738278449,   0.141841983,    0.00323001,     -0.121982791,   -0.108192362;
                 0.715482804,   0.011483825,    -0.027642039,   -0.008551353,   -0.211650475;
                 0.704568156,   0.016670586,    0.056855586,    0.045006538,    -0.212703309;
                 0.682878309,   -0.009770111,   0.28405449,     0.068257407,    -0.05435771;
                 0.679774442,   -0.062700096,   0.095278675,    0.051087949,    -0.086514957;
                 0.672669127,   0.070741455,    0.11499865,     -0.046386447,   -0.221176056;
                 0.667228697,   0.071202062,    -0.031999554,   0.147478398,    -0.023661933;
                 0.621018553,   0.091820715,    0.221134258,    0.100021381,    -0.071477797;
                 0.614184439,   0.066835344,    0.087838398,    0.080808737,    -0.199796359;
                 0.612762808,   0.095447456,    0.034918515,    0.110281467,    0.08462564;
                 0.596102644,   -0.03095136,    -0.00201852,    0.061536698,    -0.33562254;
                 0.549925428,   0.025973094,    -0.005067543,   0.131895808,    0.144016083;
                 0.536093647,   0.141448891,    0.146640274,    0.124170319,    -0.024626198;
                 0.506088992,   -0.033666666,   -0.001669395,   0.046309258,    -0.454507204;
                 0.498075141,   0.013872309,    -0.10885918,    0.077671257,    -0.398873637;
                 0.491259386,   0.070648257,    0.362903736,    0.168862314,    0.078222301;
                 0.473466629,   0.005303758,    0.103551278,    0.135820203,    -0.117243861;
                 0.451181677,   0.148019961,    0.3063622,      0.104236606,    -0.160420059;
                 0.44949463,    0.061865916,    0.152604201,    0.118073339,    -0.259274022;
                 0.448271527,   0.057276975,    0.069429094,    0.196138046,    -0.302385835;
                 0.441278082,   -0.016732654,   -0.165357102,   0.050981186,    -0.105594824;
                 0.372059316,   0.143062588,    0.149719062,    0.084850727,    -0.233577388;
                 0.294799116,   0.019743931,    0.205908903,    -0.127051608,   -0.194869273;
                 0.291303209,   0.175314589,    -0.138150987,   -0.052966533,   -0.276976361;
                 0.051340263,   0.859971633,    -0.028102002,   -0.181239335,   -0.018060006;
                 0.049269878,   0.798633564,    -0.151224086,   0.283981411,    0.014180584;
                 0.112522688,   0.79019034,     -0.299883643,   -0.019312022,   0.091239042;
                -0.062649107,   0.784424706,    -0.077893563,   0.122824531,    0.07277096;
                 0.201876902,   0.738874829,    0.028276781,    -0.282121548,   -0.001817608;
                 0.007256071,   0.705496997,    0.038491515,    0.130323939,    -0.081993413;
                 0.017346303,   0.681977416,    -0.012270661,   0.115874427,    -0.135846956;
                 0.015079376,   0.651009563,    0.120112376,    0.076795637,    -0.069999399;
                 0.028556892,   0.591885068,    0.294061875,    -0.100796783,   -0.178412997;
                 0.113671764,   0.573156102,    -0.018546419,   -0.016499915,   0.169393136;
                 0.059109467,   0.560073187,    0.099376298,    -0.076723588,   -0.208692235;
                 0.040704652,   0.552216182,    0.188498422,    0.222664922,    -0.27312236;
                -0.110329328,   0.548895367,    0.17999264,     -0.006143955,   0.134072686;
                 0.067940487,   0.547146645,    0.142229481,    0.2147295,      -0.211515004;
                -0.013266606,   0.545361119,    0.098026072,    0.45409551,     -0.031491936;
                 0.032362421,   0.516921256,    0.187754056,    0.220293264,    -0.294936137;
                 0.012235931,   0.48714161,     0.486612055,    -0.21474517,    -0.025465214;
                -0.027741092,   0.462345113,    0.085130282,    0.082813962,    -0.071520071;
                -0.031145186,   0.459836876,    0.13108185,     0.209562293,    -0.294059431;
                 0.094452022,   0.437925799,    0.259173827,    -0.013808867,   -0.224961573;
                 0.130324169,   0.41607347,     0.08525794,     0.412044073,    -0.172559454;
                 0.089138142,   0.332628804,    -0.051500194,   0.175731055,    0.046435234;
                -0.062680791,   -0.044870429,   0.701278638,    0.004228009,    -0.094198362;
                 0.133322558,   -0.074077107,   0.645859721,    0.067403475,    -0.039936534;
                 0.066853586,   -0.019079326,   0.603015446,    0.184859791,    0.095156317;
                 0.180336801,   0.038546973,    0.556426526,    0.046591223,    0.114189739;
                 0.036385519,   0.237337158,    0.551161305,    -0.135096911,   0.016930026;
                 0.138864563,   -0.060552653,   0.550073135,    0.134649776,    -0.002154831;

0.083159561,    -0.00494762,    0.504456239,    0.056695359,    -0.034014707;
                 0.019762849,   0.19906486,     0.449226362,    0.272710713,    -0.245670643;
                -0.018739548,   0.438209595,    0.444921451,    -0.072096516,   0.084559305;
                -0.059733988,   0.251261,       0.435869984,    0.177897505,    -0.108978081;
                 0.185749172,   0.200288252,    0.408960146,    -0.035042903,   -0.268257666;
                 0.057774156,   0.112368687,    0.305586574,    0.125707757,    -0.206850512;
                 0.234575412,   -0.070695517,   0.291011426,    -0.21881141,    -0.263419624;
                 0.205664292,   -0.038696033,   0.239546927,    0.068741834,    -0.233603453;
                 0.131522618,   0.11775963,     0.096545341,    0.594010619,    -0.024543746;
                 0.180979343,   -0.023561219,   0.150279397,    0.559304749,    0.066433014;
                 0.2576374,     0.066656784,    0.0853576,      0.541330615,    -0.039216255;
                 0.425413272,   0.049384441,    -0.033640897,   -0.007143601,   -0.529796375;
                 0.278412667,   0.14879198,     0.119739896,    0.106365903,    -0.489063961;
                 0.306119857,   0.009130316,    0.097404029,    0.072160541,    -0.478959818;
                 0.373257768,   0.144919141,    0.122385527,    0.084732005,    -0.411342454;
                 0.258747111,   -0.118269424,   0.284303916,    -0.075041911,   -0.395704052;
                 0.239899202,   0.134491616,    -0.041590461,   0.183603276,    -0.285043821}.
* enter first-order variable names.
compute varname={"v001"; "v002"; "v003"; "v004"; "v005"; "v006"; "v007"; "v008"; "v009"; "v010"; "v011"; "v012"; "v013"; "v014"; "v015"; "v016"; "v017"; "v018"; "v019"; "v020"; "v021"; "v022"; "v023"; "v024"; "v025"; "v026"; "v027"; "v028"; "v029"; "v030"; "v031"; "v032"; "v033"; "v034"; "v035"; "v036"; "v037"; "v038"; "v039"; "v040"; "v041"; "v042"; "v043"; "v044"; "v045"; "v046"; "v047"; "v048"; "v049"; "v050"; "v051"; "v052"; "v053"; "v054"; "v055"; "v056"; "v057"; "v058"; "v059"; "v060"; "v061"; "v062"; "v063"; "v064"; "v065"; "v066"; "v067"; "v068"; "v069"; "v070"; "v071"; "v072"; "v073"; "v074"; "v075"; "v076"}.
*enter first-order factor names.
compute f1name={"factor1", "factor2", "factor3", "factor4", "factor5"}.
* enter second-order factor loadings.
Compute F2={0.828; -.624; .587; .505; .441}.
*enter second-order factor names.
compute f2name={"General1"}.

* END OF INPUT.
print F1/Format"f5.3" /rnames=varname /cnames=f1name.
compute C1=ncol(F1).
print F2/format"f5.3" /rnames=f1name /cnames=f2name.
compute C2=ncol(F2).
Compute zw1=1-rssq(f2).
Compute Unique=Mdiag (zw1).
compute zw1=sqrt(unique).
compute B={F2,zw1}.
Compute SLP=F1*B.
compute hrtot=rssq(SLP).
compute C1end=C1+C2.
compute C1start=C2+1.
compute zw2=slp(:,C1start:C1end).
compute HR1st=rssq(zw2).
compute zw3=SLP(:,1:C2).
compute HR2nd=rssq(zw3).
compute HCtot=cssq(SLP).
compute Htot=mssq(SLP).
compute Htot100=HCtot &/ Htot.
compute Htotsum=msum(HCtot) / Htot.
compute zw4=Htot100(1:C2).
compute zw5=Htot100(C1start:C1end).
compute EXG=rsum(zw4).
compute EXF=rsum(zw5).
compute results1={SLP, HRtot, HR2nd, HR1st}.
compute slpname={f2name, f1name, "H² total", "H² G", "H² 1st"}.
print results1/ format "f5.3" /title="factor loadings of Schmid-Leiman Solution and h²" /rnames = varname /cnames=slpname.
compute results2={HCtot, Htot;
                  Htot100, Htotsum}.
compute fixedn2={f2name,f1name,"total"}.
print results2 /format"f5.3"/ title="sum of squared loadings"
/rlabels="H²" "%" /cnames=fixedn2.
print EXG /format"f5.3"/ title="percentage of exracted variance explained by general factors (%)".
print EXF /format"f5.3"/ title="percentage of extracted variance explained by first order factors (%)".
        End Matrix.






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