------------------------------------------------------------------------------- log: c:\www\econ626\stata\missing_data.log log type: text opened on: 3 Dec 2006, 13:08:54 . use missing_data; . * get frequency of missing data; . tab missing; weekly | wages are | missing | Freq. Percent Cum. ------------+----------------------------------- 0 | 5,337 53.37 53.37 1 | 4,663 46.63 100.00 ------------+----------------------------------- Total | 10,000 100.00 . * run ols model with real data; . reg wearnl_all educ age; Source | SS df MS Number of obs = 10000 -------------+------------------------------ F( 2, 9997) = 3883.31 Model | 1635.2229 2 817.61145 Prob > F = 0.0000 Residual | 2104.81874 9997 .210545037 R-squared = 0.4372 -------------+------------------------------ Adj R-squared = 0.4371 Total | 3740.04164 9999 .374041568 Root MSE = .45885 ------------------------------------------------------------------------------ wearnl_all | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- educ | .0803226 .0009926 80.92 0.000 .0783769 .0822684 age | .0121512 .0003465 35.06 0.000 .0114719 .0128305 _cons | 4.483993 .016937 264.74 0.000 4.450793 4.517193 ------------------------------------------------------------------------------ . * run ols model with reported data; . * this is the model with missing data; . * deleted; . reg wearnl educ age; Source | SS df MS Number of obs = 5337 -------------+------------------------------ F( 2, 5334) = 1381.67 Model | 559.207267 2 279.603633 Prob > F = 0.0000 Residual | 1079.42294 5334 .202366505 R-squared = 0.3413 -------------+------------------------------ Adj R-squared = 0.3410 Total | 1638.6302 5336 .307089618 Root MSE = .44985 ------------------------------------------------------------------------------ wearnl | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- educ | .0703361 .0015006 46.87 0.000 .0673943 .073278 age | .0118533 .0004631 25.60 0.000 .0109455 .0127611 _cons | 4.6703 .0258484 180.68 0.000 4.619626 4.720973 ------------------------------------------------------------------------------ . * notice that ols estimatrs of educ and age; . * are biased down; . * generate data, nonmissing; . gen nonmissing=1-missing; . label var nonmissing "=1 if data for wearnl is reported"; . * run probit, why data is reported; . probit nonmissing educ age z; Iteration 0: log likelihood = -6908.7408 Iteration 1: log likelihood = -5611.2261 Iteration 2: log likelihood = -5586.4875 Iteration 3: log likelihood = -5586.4551 Probit regression Number of obs = 10000 LR chi2(3) = 2644.57 Prob > chi2 = 0.0000 Log likelihood = -5586.4551 Pseudo R2 = 0.1914 ------------------------------------------------------------------------------ nonmissing | Coef. Std. Err. z P>|z| [95% Conf. Interval] -------------+---------------------------------------------------------------- educ | .1497386 .003211 46.63 0.000 .1434451 .1560321 age | .0100424 .0010406 9.65 0.000 .0080029 .0120819 z | .1403535 .0138183 10.16 0.000 .1132702 .1674369 _cons | -1.504516 .0526162 -28.59 0.000 -1.607642 -1.401391 ------------------------------------------------------------------------------ . * run heckman sample selection correction; . heckman wearnl educ age, select(educ age z); Iteration 0: log likelihood = -8893.8304 Iteration 1: log likelihood = -8893.589 Iteration 2: log likelihood = -8893.4585 Iteration 3: log likelihood = -8893.4556 Iteration 4: log likelihood = -8893.4556 Heckman selection model Number of obs = 10000 (regression model with sample selection) Censored obs = 4663 Uncensored obs = 5337 Wald chi2(2) = 428.68 Log likelihood = -8893.456 Prob > chi2 = 0.0000 ------------------------------------------------------------------------------ | Coef. Std. Err. z P>|z| [95% Conf. Interval] -------------+---------------------------------------------------------------- wearnl | educ | .0816778 .0064328 12.70 0.000 .0690698 .0942858 age | .0125495 .0006062 20.70 0.000 .0113614 .0137376 _cons | 4.445103 .1268036 35.06 0.000 4.196572 4.693633 -------------+---------------------------------------------------------------- select | educ | .1495845 .0032106 46.59 0.000 .1432918 .1558771 age | .010029 .0010394 9.65 0.000 .0079919 .0120661 z | .1390889 .0138789 10.02 0.000 .1118867 .1662911 _cons | -1.502784 .0525991 -28.57 0.000 -1.605877 -1.399692 -------------+---------------------------------------------------------------- /athrho | .3085357 .1723748 1.79 0.073 -.0293128 .6463841 /lnsigma | -.7759725 .0268514 -28.90 0.000 -.8286003 -.7233447 -------------+---------------------------------------------------------------- rho | .2991043 .1569536 -.0293044 .5692308 sigma | .460256 .0123585 .4366601 .4851269 lambda | .1376646 .0756984 -.0107016 .2860307 ------------------------------------------------------------------------------ LR test of indep. eqns. (rho = 0): chi2(1) = 1.96 Prob > chi2 = 0.1618 ------------------------------------------------------------------------------ . * run heckman sample selection correction; . * but use functional form to identify the model; . heckman wearnl educ age, select(educ age); Iteration 0: log likelihood = -8946.5206 (not concave) Iteration 1: log likelihood = -8946.5206 (not concave) Iteration 2: log likelihood = -8946.5206 (not concave) Iteration 3: log likelihood = -8946.5206 (not concave) Iteration 4: log likelihood = -8946.5206 (not concave) Iteration 5: log likelihood = -8946.5206 (not concave) Iteration 6: log likelihood = -8946.5206 (not concave) Iteration 7: log likelihood = -8946.5206 (not concave) Iteration 8: log likelihood = -8946.5206 (not concave) Iteration 9: log likelihood = -8946.5206 (not concave) Iteration 10: log likelihood = -8946.5206 (not concave) Iteration 11: log likelihood = -8946.5206 (not concave) Iteration 12: log likelihood = -8946.5206 (not concave) Iteration 13: log likelihood = -8946.5206 (not concave) Iteration 14: log likelihood = -8946.5206 (not concave) Iteration 15: log likelihood = -8946.5206 (not concave) Iteration 16: log likelihood = -8946.5206 (not concave) Iteration 17: log likelihood = -8946.5206 (not concave) Iteration 18: log likelihood = -8946.5206 (not concave) Iteration 19: log likelihood = -8946.5206 (not concave) Iteration 20: log likelihood = -8946.5206 (not concave) Iteration 21: log likelihood = -8946.5206 (not concave) Iteration 22: log likelihood = -8946.5206 (not concave) Iteration 23: log likelihood = -8946.5206 (not concave) Iteration 24: log likelihood = -8946.5206 (not concave) Iteration 25: log likelihood = -8946.5206 (not concave) Iteration 26: log likelihood = -8946.5206 (not concave) Iteration 27: log likelihood = -8946.5206 (not concave) Iteration 28: log likelihood = -8946.5206 (not concave) Iteration 29: log likelihood = -8946.5206 (not concave) Iteration 30: log likelihood = -8946.5206 (not concave) 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concave) Iteration 1242:log likelihood = -8946.5148 (not concave) Iteration 1243:log likelihood = -8946.5148 (not concave) Iteration 1244:log likelihood = -8946.5148 (not concave) Iteration 1245:log likelihood = -8946.5148 (not concave) Iteration 1246:log likelihood = -8946.5148 (not concave) Iteration 1247:log likelihood = -8946.5148 (not concave) Iteration 1248:log likelihood = -8946.5148 (not concave) Iteration 1249:log likelihood = -8946.5148 (not concave) Iteration 1250:log likelihood = -8946.5147 (not concave) Iteration 1251:log likelihood = -8946.5147 (not concave) Iteration 1252:log likelihood = -8946.5147 (not concave) Iteration 1253:log likelihood = -8946.5147 (not concave) Iteration 1254:log likelihood = -8946.5147 (not concave) Iteration 1255:log likelihood = -8946.5147 (not concave) Iteration 1256:log likelihood = -8946.5147 (not concave) Iteration 1257:log likelihood = -8946.5147 (not concave) Iteration 1258:log likelihood = -8946.5146 (not concave) Iteration 1259:log likelihood = -8946.5146 (not concave) Iteration 1260:log likelihood = -8946.5146 (not concave) Iteration 1261:log likelihood = -8946.5146 (not concave) Iteration 1262:log likelihood = -8946.5146 (not concave) Iteration 1263:log likelihood = -8946.5146 (not concave) Iteration 1264:log likelihood = -8946.5146 (not concave) Iteration 1265:log likelihood = -8946.5146 (not concave) Iteration 1266:log likelihood = -8946.5145 (not concave) Iteration 1267:log likelihood = -8946.5145 (not concave) Iteration 1268:log likelihood = -8946.5145 (not concave) Iteration 1269:log likelihood = -8946.5145 (not concave) Iteration 1270:log likelihood = -8946.5145 (not concave) Iteration 1271:log likelihood = -8946.5145 (not concave) Iteration 1272:log likelihood = -8946.5145 (not concave) Iteration 1273:log likelihood = -8946.5145 (not concave) Iteration 1274:log likelihood = -8946.5144 (not concave) Iteration 1275:log likelihood = -8946.5144 (not concave) Iteration 1276:log likelihood = -8946.5144 (not concave) Iteration 1277:log likelihood = -8946.5144 (not concave) Iteration 1278:log likelihood = -8946.5144 (not concave) Iteration 1279:log likelihood = -8946.5144 (not concave) Iteration 1280:log likelihood = -8946.5144 (not concave) Iteration 1281:log likelihood = -8946.5144 (not concave) Iteration 1282:log likelihood = -8946.5144 (not concave) Iteration 1283:log likelihood = -8946.5143 (not concave) Iteration 1284:log likelihood = -8946.5143 (not concave) Iteration 1285:log likelihood = -8946.5143 (not concave) Iteration 1286:log likelihood = -8946.5143 (not concave) Iteration 1287:log likelihood = -8946.5143 (not concave) Iteration 1288:log likelihood = -8946.5143 (not concave) Iteration 1289:log likelihood = -8946.5143 (not concave) Iteration 1290:log likelihood = -8946.5142 (not concave) Iteration 1291:log likelihood = -8946.5142 (not concave) Iteration 1292:log likelihood = -8946.5142 (not concave) Iteration 1293:log likelihood = -8946.5142 (not concave) Iteration 1294:log likelihood = -8946.5142 (not concave) Iteration 1295:log likelihood = -8946.5142 (not concave) Iteration 1296:log likelihood = -8946.5142 (not concave) Iteration 1297:log likelihood = -8946.5142 (not concave) Iteration 1298:log likelihood = -8946.5142 (not concave) Iteration 1299:log likelihood = -8946.5141 (not concave) Iteration 1300:log likelihood = -8946.5141 (not concave) Iteration 1301:log likelihood = -8946.5141 (not concave) Iteration 1302:log likelihood = -8946.5141 (not concave) Iteration 1303:log likelihood = -8946.5141 (not concave) Iteration 1304:log likelihood = -8946.5141 (not concave) Iteration 1305:log likelihood = -8946.5141 (not concave) Iteration 1306:log likelihood = -8946.5141 (not concave) Iteration 1307:log likelihood = -8946.5141 (not concave) Iteration 1308:log likelihood = -8946.5141 (not concave) Iteration 1309:log likelihood = -8946.514 (not concave) Iteration 1310:log likelihood = -8946.514 (not concave) Iteration 1311:log likelihood = -8946.514 (not concave) Iteration 1312:log likelihood = -8946.514 (not concave) Iteration 1313:log likelihood = -8946.514 (not concave) Iteration 1314:log likelihood = -8946.514 (not concave) Iteration 1315:log likelihood = -8946.514 (not concave) Iteration 1316:log likelihood = -8946.514 (not concave) Iteration 1317:log likelihood = -8946.514 (not concave) Iteration 1318:log likelihood = -8946.514 (not concave) Iteration 1319:log likelihood = -8946.5139 (not concave) Iteration 1320:log likelihood = -8946.5139 (not concave) Iteration 1321:log likelihood = -8946.5139 (not concave) Iteration 1322:log likelihood = -8946.5139 (not concave) Iteration 1323:log likelihood = -8946.5139 (not concave) Iteration 1324:log likelihood = -8946.5139 (not concave) Iteration 1325:log likelihood = -8946.5138 (not concave) Iteration 1326:log likelihood = -8946.5138 (not concave) Iteration 1327:log likelihood = -8946.5138 (not concave) Iteration 1328:log likelihood = -8946.5138 (not concave) Iteration 1329:log likelihood = -8946.5138 (not concave) Iteration 1330:log likelihood = -8946.5138 (not concave) Iteration 1331:log likelihood = -8946.5138 (not concave) Iteration 1332:log likelihood = -8946.5138 (not concave) Iteration 1333:log likelihood = -8946.5138 (not concave) Iteration 1334:log likelihood = -8946.5138 (not concave) Iteration 1335:log likelihood = -8946.5137 (not concave) Iteration 1336:log likelihood = -8946.5137 (not concave) Iteration 1337:log likelihood = -8946.5137 (not concave) Iteration 1338:log likelihood = -8946.5137 (not concave) Iteration 1339:log likelihood = -8946.5137 (not concave) Iteration 1340:log likelihood = -8946.5137 (not concave) Iteration 1341:log likelihood = -8946.5137 (not concave) Iteration 1342:log likelihood = -8946.5137 (not concave) Iteration 1343:log likelihood = -8946.5137 (not concave) Iteration 1344:log likelihood = -8946.5136 (not concave) Iteration 1345:log likelihood = -8946.5136 (not concave) Iteration 1346:log likelihood = -8946.5136 (not concave) 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(not concave) Iteration 1505:log likelihood = -8946.5118 (not concave) Iteration 1506:log likelihood = -8946.5118 (not concave) Iteration 1507:log likelihood = -8946.5118 (not concave) Iteration 1508:log likelihood = -8946.5117 (not concave) Iteration 1509:log likelihood = -8946.5117 (not concave) Iteration 1510:log likelihood = -8946.5117 (not concave) Iteration 1511:log likelihood = -8946.5117 (not concave) Iteration 1512:log likelihood = -8946.5117 (not concave) Iteration 1513:log likelihood = -8946.5117 (not concave) Iteration 1514:log likelihood = -8946.5117 (not concave) Iteration 1515:log likelihood = -8946.5117 (not concave) Iteration 1516:log likelihood = -8946.5117 (not concave) Iteration 1517:log likelihood = -8946.5116 (not concave) Iteration 1518:log likelihood = -8946.5116 (not concave) Iteration 1519:log likelihood = -8946.5116 (not concave) Iteration 1520:log likelihood = -8946.5116 (not concave) Iteration 1521:log likelihood = -8946.5116 (not concave) Iteration 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Iteration 1995:log likelihood = -8946.5046 (not concave) Iteration 1996:log likelihood = -8946.5045 (not concave) Iteration 1997:log likelihood = -8946.5045 (not concave) Iteration 1998:log likelihood = -8946.5045 (not concave) Iteration 1999:log likelihood = -8946.5045 (not concave) Iteration 2000:log likelihood = -8946.5045 (not concave) Iteration 2001:log likelihood = -8946.5045 (not concave) Iteration 2002:log likelihood = -8946.5045 (not concave) Iteration 2003:log likelihood = -8946.5044 (not concave) Iteration 2004:log likelihood = -8946.5044 (not concave) Iteration 2005:log likelihood = -8946.5044 (not concave) Iteration 2006:log likelihood = -8946.5044 (not concave) Iteration 2007:log likelihood = -8946.5044 (not concave) Iteration 2008:log likelihood = -8946.5044 (not concave) Iteration 2009:log likelihood = -8946.5043 (not concave) Iteration 2010:log likelihood = -8946.5043 (not concave) Iteration 2011:log likelihood = -8946.5043 (not concave) Iteration 2012:log likelihood = -8946.5043 (not concave) Iteration 2013:log likelihood = -8946.5043 (not concave) Iteration 2014:log likelihood = -8946.5043 (not concave) Iteration 2015:log likelihood = -8946.5042 (not concave) Iteration 2016:log likelihood = -8946.5042 (not concave) Iteration 2017:log likelihood = -8946.5042 (not concave) Iteration 2018:log likelihood = -8946.5042 (not concave) Iteration 2019:log likelihood = -8946.5042 (not concave) Iteration 2020:log likelihood = -8946.5042 (not concave) Iteration 2021:log likelihood = -8946.5041 (not concave) Iteration 2022:log likelihood = -8946.5041 (not concave) Iteration 2023:log likelihood = -8946.5041 (not concave) Iteration 2024:log likelihood = -8946.5041 (not concave) Iteration 2025:log likelihood = -8946.5041 (not concave) Iteration 2026:log likelihood = -8946.5041 (not concave) Iteration 2027:log likelihood = -8946.504 (not concave) Iteration 2028:log likelihood = -8946.504 (not concave) Iteration 2029:log likelihood = -8946.504 (not concave) Iteration 2030:log likelihood = -8946.504 (not concave) Iteration 2031:log likelihood = -8946.504 (not concave) Iteration 2032:log likelihood = -8946.504 (not concave) Iteration 2033:log likelihood = -8946.504 (not concave) Iteration 2034:log likelihood = -8946.5039 (not concave) Iteration 2035:log likelihood = -8946.5039 (not concave) Iteration 2036:log likelihood = -8946.5039 (not concave) Iteration 2037:log likelihood = -8946.5039 (not concave) Iteration 2038:log likelihood = -8946.5039 (not concave) Iteration 2039:log likelihood = -8946.5039 (not concave) Iteration 2040:log likelihood = -8946.5038 (not concave) Iteration 2041:log likelihood = -8946.5038 (not concave) Iteration 2042:log likelihood = -8946.5038 (not concave) Iteration 2043:log likelihood = -8946.5038 (not concave) Iteration 2044:log likelihood = -8946.5038 (not concave) Iteration 2045:log likelihood = -8946.5038 (not concave) Iteration 2046:log likelihood = -8946.5037 (not concave) Iteration 2047:log likelihood = -8946.5037 (not concave) Iteration 2048:log likelihood = -8946.5037 (not concave) Iteration 2049:log likelihood = -8946.5037 (not concave) Iteration 2050:log likelihood = -8946.5037 (not concave) Iteration 2051:log likelihood = -8946.5037 (not concave) Iteration 2052:log likelihood = -8946.5036 (not concave) Iteration 2053:log likelihood = -8946.5036 (not concave) Iteration 2054:log likelihood = -8946.5036 (not concave) Iteration 2055:log likelihood = -8946.5036 (not concave) Iteration 2056:log likelihood = -8946.5036 (not concave) Iteration 2057:log likelihood = -8946.5035 (not concave) Iteration 2058:log likelihood = -8946.5035 (not concave) Iteration 2059:log likelihood = -8946.5035 (not concave) Iteration 2060:log likelihood = -8946.5035 (not concave) Iteration 2061:log likelihood = -8946.5035 (not concave) Iteration 2062:log likelihood = -8946.5035 (not concave) Iteration 2063:log likelihood = -8946.5035 (not concave) Iteration 2064:log likelihood = -8946.5034 (not concave) Iteration 2065:log likelihood = -8946.5034 (not concave) Iteration 2066:log likelihood = -8946.5034 (not concave) Iteration 2067:log likelihood = -8946.5034 (not concave) Iteration 2068:log likelihood = -8946.5034 (not concave) Iteration 2069:log likelihood = -8946.5034 (not concave) Iteration 2070:log likelihood = -8946.5033 (not concave) Iteration 2071:log likelihood = -8946.5033 (not concave) Iteration 2072:log likelihood = -8946.5033 (not concave) Iteration 2073:log likelihood = -8946.5033 (not concave) Iteration 2074:log likelihood = -8946.5033 (not concave) Iteration 2075:log likelihood = -8946.5033 (not concave) Iteration 2076:log likelihood = -8946.5032 (not concave) Iteration 2077:log likelihood = -8946.5032 (not concave) Iteration 2078:log likelihood = -8946.5032 (not concave) Iteration 2079:log likelihood = -8946.5032 (not concave) Iteration 2080:log likelihood = -8946.5032 (not concave) Iteration 2081:log likelihood = -8946.5032 (not concave) Iteration 2082:log likelihood = -8946.5032 (not concave) Iteration 2083:log likelihood = -8946.5032 (not concave) Iteration 2084:log likelihood = -8946.5031 (not concave) Iteration 2085:log likelihood = -8946.5031 (not concave) Iteration 2086:log likelihood = -8946.5031 (not concave) Iteration 2087:log likelihood = -8946.5031 (not concave) Iteration 2088:log likelihood = -8946.5031 (not concave) Iteration 2089:log likelihood = -8946.503 (not concave) Iteration 2090:log likelihood = -8946.503 (not concave) Iteration 2091:log likelihood = -8946.503 (not concave) Iteration 2092:log likelihood = -8946.503 (not concave) Iteration 2093:log likelihood = -8946.503 (not concave) Iteration 2094:log likelihood = -8946.503 (not concave) Iteration 2095:log likelihood = -8946.5029 (not concave) Iteration 2096:log likelihood = -8946.5029 (not concave) Iteration 2097:log likelihood = -8946.5029 (not concave) Iteration 2098:log likelihood = -8946.5029 (not concave) Iteration 2099:log likelihood = -8946.5029 (not concave) Iteration 2100:log likelihood = -8946.5029 (not concave) Iteration 2101:log likelihood = -8946.5029 (not concave) Iteration 2102:log likelihood = -8946.5028 (not concave) Iteration 2103:log likelihood = -8946.5028 (not concave) Iteration 2104:log likelihood = -8946.5028 (not concave) Iteration 2105:log likelihood = -8946.5028 (not concave) Iteration 2106:log likelihood = -8946.5028 (not concave) Iteration 2107:log likelihood = -8946.5028 (not concave) Iteration 2108:log likelihood = -8946.5027 (not concave) Iteration 2109:log likelihood = -8946.5027 (not concave) Iteration 2110:log likelihood = -8946.5027 (not concave) Iteration 2111:log likelihood = -8946.5027 (not concave) Iteration 2112:log likelihood = -8946.5027 (not concave) Iteration 2113:log likelihood = -8946.5027 (not concave) Iteration 2114:log likelihood = -8946.5026 (not concave) Iteration 2115:log likelihood = -8946.5026 (not concave) Iteration 2116:log likelihood = -8946.5026 (not concave) Iteration 2117:log likelihood = -8946.5026 (not concave) Iteration 2118:log likelihood = -8946.5026 (not concave) Iteration 2119:log likelihood = -8946.5026 (not concave) Iteration 2120:log likelihood = -8946.5026 Iteration 2121:log likelihood = -8946.49 (backed up) Iteration 2122:log likelihood = -8946.4855 Iteration 2123:log likelihood = -8946.4854 Heckman selection model Number of obs = 10000 (regression model with sample selection) Censored obs = 4663 Uncensored obs = 5337 Wald chi2(2) = 295.99 Log likelihood = -8946.485 Prob > chi2 = 0.0000 ------------------------------------------------------------------------------ | Coef. Std. Err. z P>|z| [95% Conf. Interval] -------------+---------------------------------------------------------------- wearnl | educ | .0650405 .0113713 5.72 0.000 .0427531 .087328 age | .0115308 .0008296 13.90 0.000 .0099048 .0131568 _cons | 4.775379 .2251815 21.21 0.000 4.334031 5.216727 -------------+---------------------------------------------------------------- select | educ | .1487287 .0031911 46.61 0.000 .1424743 .1549832 age | .009841 .0010369 9.49 0.000 .0078088 .0118733 _cons | -1.491731 .0524251 -28.45 0.000 -1.594483 -1.38898 -------------+---------------------------------------------------------------- /athrho | -.1419248 .3029263 -0.47 0.639 -.7356494 .4517998 /lnsigma | -.7939694 .0238974 -33.22 0.000 -.8408074 -.7471314 -------------+---------------------------------------------------------------- rho | -.1409795 .2969056 -.6265094 .4233773 sigma | .4520469 .0108027 .4313621 .4737235 lambda | -.0637293 .1356091 -.3295183 .2020596 ------------------------------------------------------------------------------ LR test of indep. eqns. (rho = 0): chi2(1) = 0.07 Prob > chi2 = 0.7894 ------------------------------------------------------------------------------ . log close; log: c:\www\econ626\stata\missing_data.log log type: text closed on: 3 Dec 2006, 13:12:31 -------------------------------------------------------------------------------