Generic MAUT code 2021_07_08.sas

  
 /*  DESCRIPTION
   This is the multi-attribute utility function, using isotonic regression with linear interpolation for the single-attribute (dis)utility functions.
   This code was written by Janel Hanmer in September 2017 using SAS 9.4

   Addition of managing missing data added July 2021.

   DATASET
   This code presumes the dataset's name is PROPrData
  
   INPUTS
   The input thetas must be a 7 element vector of the following form:
     - theta_cog is a score on the Cognitive Functioning - Abilities domain
     - theta_dep is a score on the Depression domain
     - theta_fat is a score on the Fatigue domain
     - theta_pain is a score on the Pain Interference domain
     - theta_phys is a score on the Physical Functioning domain
     - theta_slp is a score on the Sleep Disturbance domain
     - theta_sr is a score on the Ability to Participate in Social Roles and Activities domain
   The thetas must be of the z-score form: usually a number from -3 to 3.  These are the scores constructed with a population mean of 0 and standard deviation of 1.
   Note in particular, they should not be the "t-score" form.  These scores are transformations of the z-scores such that the population mean is 50 and a standard deviation of 10.
  
   OUTPUTS
   A number (utility) on the dead = 0, full health = 1 scale. 
   Note that 1 is the maximum possible value, but scores less than 0 are possible.
 */
  
  
 /*  The values we will need for the computation */
 
data PROPrData; set PROPrData; 
  /* Coefficients for each turn points regression */

turncog1 =-2.052;
turncog2 =-1.565;
turncog3 =-1.239;
turncog4 =-0.902;
turncog5 =-0.649;
turncog6 =-0.367;
turncog7 =-0.002;
turncog8 =0.52;
turncog9 =1.124;

turndep1 =-1.082;
turndep2 =-0.264;
turndep3 =0.151;
turndep4 =0.596;
turndep5 =0.913;
turndep6 =1.388;
turndep7 =1.742;
turndep8 =2.245;
turndep9 =2.703;

turnfat1 =-1.648;
turnfat2 =-0.818;
turnfat3 =-0.094;
turnfat4 =0.303;
turnfat5 =0.87;
turnfat6 =1.124;
turnfat7 =1.688;
turnfat8 =2.053;
turnfat9 =2.423;

turnpain1 =-0.773;
turnpain2 =0.1;
turnpain3 =0.462;
turnpain4 =0.827;
turnpain5 =1.072;
turnpain6 =1.407;
turnpain7 =1.724;
turnpain8 =2.169;
turnpain9 =2.725;

turnphys1 =-2.575;
turnphys2 =-2.174;
turnphys3 =-1.784;
turnphys4 =-1.377;
turnphys5 =-0.787;
turnphys6 =-0.443;
turnphys7 =-0.211;
turnphys8 =0.16;
turnphys9 =0.966;

turnsleep1 =-1.535;
turnsleep2 =-0.775;
turnsleep3 =-0.459;
turnsleep4 =0.093;
turnsleep5 =0.335;
turnsleep6 =0.82;
turnsleep7 =1.659;
turnsleep8 =1.934;

turnsocial1 =-2.088;
turnsocial2 =-1.634;
turnsocial3 =-1.293;
turnsocial4 =-0.955;
turnsocial5 =-0.618;
turnsocial6 =-0.276;
turnsocial7 =0.083;
turnsocial8 =0.494;
turnsocial9 =1.221;

  /* Coefficients for each slope regression */
slopecog1 =-1.0047;
slopecog2 =-0.1745;
slopecog3 =-0.4223;
slopecog4 =-0.1949;
slopecog5 =-0.1082;
slopecog6 =-0.2468;
slopecog7 =-0.0176;
slopecog8 =-0.2192;


slopedep1 =0.1572;
slopedep2 =0;
slopedep3 =0.1793;
slopedep4 =0.1817;
slopedep5 =0.4109;
slopedep6 =0.1887;
slopedep7 =0.2115;
slopedep8 =0.7983;


slopefat1 =0.1152;
slopefat2 =0.1077;
slopefat3 =0.1189;
slopefat4 =0.1277;
slopefat5 =0.222;
slopefat6 =0.0496;
slopefat7 =0.3233;
slopefat8 =1.3632;


slopepain1 =0.0891;
slopepain2 =0.1721;
slopepain3 =0.1022;
slopepain4 =0.4241;
slopepain5 =0.3815;
slopepain6 =0.3681;
slopepain7 =0.1169;
slopepain8 =0.7594;


slopephys1 =-1.0761;
slopephys2 =-0.1756;
slopephys3 =-0.1764;
slopephys4 =-0.1161;
slopephys5 =-0.2721;
slopephys6 =-0.4082;
slopephys7 =-0.1695;
slopephys8 =-0.1346;


slopesleep1 =0.1241;
slopesleep2 =0;
slopesleep3 =0.0797;
slopesleep4 =0.3455;
slopesleep5 =0.3148;
slopesleep6 =0.1238;
slopesleep7 =1.8964;


slopesocial1 =-1.1152;
slopesocial2 =-0.2874;
slopesocial3 =-0.1352;
slopesocial4 =-0.132;
slopesocial5 =-0.4012;
slopesocial6 =0;
slopesocial7 =-0.054;
slopesocial8 =-0.201;


  /* Coefficients for each intercept points regression */
interceptcog1 =-1.0617;
interceptcog2 =0.2375;
interceptcog3 =-0.0694;
interceptcog4 =0.1357;
interceptcog5 =0.192;
interceptcog6 =0.1411;
interceptcog7 =0.1416;
interceptcog8 =0.2464;


interceptdep1 =0.1701;
interceptdep2 =0.1286;
interceptdep3 =0.1015;
interceptdep4 =0.1001;
interceptdep5 =-0.1092;
interceptdep6 =0.1993;
interceptdep7 =0.1595;
interceptdep8 =-1.1577;


interceptfat1 =0.1898;
interceptfat2 =0.1837;
interceptfat3 =0.1848;
interceptfat4 =0.1821;
interceptfat5 =0.1;
interceptfat6 =0.2938;
interceptfat7 =-0.1681;
interceptfat8 =-2.3031;


interceptpain1 =0.0689;
interceptpain2 =0.0606;
interceptpain3 =0.0929;
interceptpain4 =-0.1733;
interceptpain5 =-0.1277;
interceptpain6 =-0.1089;
interceptpain7 =0.3243;
interceptpain8 =-1.0692;


interceptphys1 =-1.7709;
interceptphys2 =0.1867;
interceptphys3 =0.1853;
interceptphys4 =0.2683;
interceptphys5 =0.1456;
interceptphys6 =0.0853;
interceptphys7 =0.1356;
interceptphys8 =0.13;


interceptsleep1 =0.1905;
interceptsleep2 =0.0943;
interceptsleep3 =0.1309;
interceptsleep4 =0.1062;
interceptsleep5 =0.1164;
interceptsleep6 =0.2731;
interceptsleep7 =-2.6676;


interceptsocial1 =-1.3285;
interceptsocial2 =0.0241;
interceptsocial3 =0.2209;
interceptsocial4 =0.2239;
interceptsocial5 =0.0576;
interceptsocial6 =0.1683;
interceptsocial7 =0.1728;
interceptsocial8 =0.2454;



  
 /*  Corner state disutilities*/
  c_cognition = 0.6350450;
  c_depression = 0.6661641;
  c_fatigue = 0.6386135;
  c_pain = 0.6529680;
  c_physical = 0.6883584;
  c_sleep = 0.5629657;
  c_social = 0.6112686;
  C = -0.9991828;
  
 /*  Constant for transforming from pits to dead */
  to_dead = 1.021915;
  
  
 /*  Create the output of each single-domain function*/
  
 /*  Cognition Disutility.  Higher cognition scores are better.*/
  cog_disutility = 1;
  if turncog1<=theta_cog<turncog2 then cog_disutility = interceptcog1 + theta_cog * slopecog1;
  if turncog2<=theta_cog<turncog3 then cog_disutility = interceptcog2 + theta_cog * slopecog2;
  if turncog3<=theta_cog<turncog4 then cog_disutility = interceptcog3 + theta_cog * slopecog3;
  if turncog4<=theta_cog<turncog5 then cog_disutility = interceptcog4 + theta_cog * slopecog4;
  if turncog5<=theta_cog<turncog6 then cog_disutility = interceptcog5 + theta_cog * slopecog5;
  if turncog6<=theta_cog<turncog7 then cog_disutility = interceptcog6 + theta_cog * slopecog6;
  if turncog7<=theta_cog<turncog8 then cog_disutility = interceptcog7 + theta_cog * slopecog7;
  if turncog8<=theta_cog<turncog9 then cog_disutility = interceptcog8 + theta_cog * slopecog8;
  if turncog9<=theta_cog then cog_disutility = 0;
  
 /*  Depression Disutility.  Lower depression scores are better*/
  dep_disutility=0;
  if turndep1<=theta_dep<turndep2 then dep_disutility = interceptdep1 + theta_dep * slopedep1;
  if turndep2<=theta_dep<turndep3 then dep_disutility = interceptdep2 + theta_dep * slopedep2;
  if turndep3<=theta_dep<turndep4 then dep_disutility = interceptdep3 + theta_dep * slopedep3;
  if turndep4<=theta_dep<turndep5 then dep_disutility = interceptdep4 + theta_dep * slopedep4;
  if turndep5<=theta_dep<turndep6 then dep_disutility = interceptdep5 + theta_dep * slopedep5;
  if turndep6<=theta_dep<turndep7 then dep_disutility = interceptdep6 + theta_dep * slopedep6;
  if turndep7<=theta_dep<turndep8 then dep_disutility = interceptdep7 + theta_dep * slopedep7;
  if turndep8<=theta_dep<turndep9 then dep_disutility = interceptdep8 + theta_dep * slopedep8;
  if turndep9<=theta_dep then dep_disutility = 1;

  
 /*  Fatigue Disutility.  Lower fatigue scores are better*/
  fat_disutility=0;
  if turnfat1<=theta_fat<turnfat2 then fat_disutility = interceptfat1 + theta_fat * slopefat1;
  if turnfat2<=theta_fat<turnfat3 then fat_disutility = interceptfat2 + theta_fat * slopefat2;
  if turnfat3<=theta_fat<turnfat4 then fat_disutility = interceptfat3 + theta_fat * slopefat3;
  if turnfat4<=theta_fat<turnfat5 then fat_disutility = interceptfat4 + theta_fat * slopefat4;
  if turnfat5<=theta_fat<turnfat6 then fat_disutility = interceptfat5 + theta_fat * slopefat5;
  if turnfat6<=theta_fat<turnfat7 then fat_disutility = interceptfat6 + theta_fat * slopefat6;
  if turnfat7<=theta_fat<turnfat8 then fat_disutility = interceptfat7 + theta_fat * slopefat7;
  if turnfat8<=theta_fat<turnfat9 then fat_disutility = interceptfat8 + theta_fat * slopefat8;
  if turnfat9<=theta_fat then fat_disutility = 1;

  
 /*  Pain Disutility.  Lower pain scores are better*/
  pain_disutility=0;
  if turnpain1<=theta_pain<turnpain2 then pain_disutility = interceptpain1 + theta_pain * slopepain1;
  if turnpain2<=theta_pain<turnpain3 then pain_disutility = interceptpain2 + theta_pain * slopepain2;
  if turnpain3<=theta_pain<turnpain4 then pain_disutility = interceptpain3 + theta_pain * slopepain3;
  if turnpain4<=theta_pain<turnpain5 then pain_disutility = interceptpain4 + theta_pain * slopepain4;
  if turnpain5<=theta_pain<turnpain6 then pain_disutility = interceptpain5 + theta_pain * slopepain5;
  if turnpain6<=theta_pain<turnpain7 then pain_disutility = interceptpain6 + theta_pain * slopepain6;
  if turnpain7<=theta_pain<turnpain8 then pain_disutility = interceptpain7 + theta_pain * slopepain7;
  if turnpain8<=theta_pain<turnpain9 then pain_disutility = interceptpain8 + theta_pain * slopepain8;
  if turnpain9<=theta_pain then pain_disutility = 1;

  
 /*  Physical Disutility.  higher physical function scores are better*/
  physical_disutility=1;
  if turnphys1<=theta_phys<turnphys2 then physical_disutility = interceptphys1 + theta_phys * slopephys1;
  if turnphys2<=theta_phys<turnphys3 then physical_disutility = interceptphys2 + theta_phys * slopephys2;
  if turnphys3<=theta_phys<turnphys4 then physical_disutility = interceptphys3 + theta_phys * slopephys3;
  if turnphys4<=theta_phys<turnphys5 then physical_disutility = interceptphys4 + theta_phys * slopephys4;
  if turnphys5<=theta_phys<turnphys6 then physical_disutility = interceptphys5 + theta_phys * slopephys5;
  if turnphys6<=theta_phys<turnphys7 then physical_disutility = interceptphys6 + theta_phys * slopephys6;
  if turnphys7<=theta_phys<turnphys8 then physical_disutility = interceptphys7 + theta_phys * slopephys7;
  if turnphys8<=theta_phys<turnphys9 then physical_disutility = interceptphys8 + theta_phys * slopephys8;
  if turnphys9<=theta_phys then physical_disutility = 0;

  
 /*  Sleep Disutility.  Lower sleep disturbance scores are better*/
  sleep_disutility=0;
  if turnsleep1<=theta_slp<turnsleep2 then sleep_disutility = interceptsleep1 + theta_slp * slopesleep1;
  if turnsleep2<=theta_slp<turnsleep3 then sleep_disutility = interceptsleep2 + theta_slp * slopesleep2;
  if turnsleep3<=theta_slp<turnsleep4 then sleep_disutility = interceptsleep3 + theta_slp * slopesleep3;
  if turnsleep4<=theta_slp<turnsleep5 then sleep_disutility = interceptsleep4 + theta_slp * slopesleep4;
  if turnsleep5<=theta_slp<turnsleep6 then sleep_disutility = interceptsleep5 + theta_slp * slopesleep5;
  if turnsleep6<=theta_slp<turnsleep7 then sleep_disutility = interceptsleep6 + theta_slp * slopesleep6;
  if turnsleep7<=theta_slp<turnsleep8 then sleep_disutility = interceptsleep7 + theta_slp * slopesleep7;
  if turnsleep8<=theta_slp then sleep_disutility = 1;
  
 /*  Social Disutility.  Higher social scores are better*/
  social_disutility=1;
  if turnsocial1<=theta_sr<turnsocial2 then social_disutility = interceptsocial1 + theta_sr * slopesocial1;
  if turnsocial2<=theta_sr<turnsocial3 then social_disutility = interceptsocial2 + theta_sr * slopesocial2;
  if turnsocial3<=theta_sr<turnsocial4 then social_disutility = interceptsocial3 + theta_sr * slopesocial3;
  if turnsocial4<=theta_sr<turnsocial5 then social_disutility = interceptsocial4 + theta_sr * slopesocial4;
  if turnsocial5<=theta_sr<turnsocial6 then social_disutility = interceptsocial5 + theta_sr * slopesocial5;
  if turnsocial6<=theta_sr<turnsocial7 then social_disutility = interceptsocial6 + theta_sr * slopesocial6;
  if turnsocial7<=theta_sr<turnsocial8 then social_disutility = interceptsocial7 + theta_sr * slopesocial7;
  if turnsocial8<=theta_sr<turnsocial9 then social_disutility = interceptsocial8 + theta_sr * slopesocial8;
  if turnsocial9<=theta_sr then social_disutility = 0;

  
 /*  Now, plug it into the multiattribute disutility function */
  
  multi_attribute_disutility = (1/C) * ((1 + C * c_cognition * cog_disutility)*
                                              (1 + C * c_depression * dep_disutility)*
                                              (1 + C * c_fatigue * fat_disutility)*
                                              (1 + C * c_pain * pain_disutility)*
                                              (1 + C * c_physical * physical_disutility)*
                                              (1 + C * c_sleep * sleep_disutility)*
                                              (1 + C * c_social * social_disutility) - 1);
  
  
  /* Now make it a utility, on the dead/full health scale */
  PROPr = round (1 - to_dead * multi_attribute_disutility, 0.001);
  /*you cannot get a PROPr score with any missing data.  See the article in Value In Health if only missing Cognitive Function for other options*/
  if nmiss(of theta_phys theta_dep theta_fat theta_slp theta_sr theta_cog theta_pain) > 0 then PROPr=.;
run;
  
  /* single attribute utility functions */
data PROPrData; set PROPrData;
	if theta_cog=. then cognition_utility=.; else cognition_utility = round (1 - cog_disutility, 0.001);
	if theta_dep=. then depression_utility=.; else depression_utility = round (1 - dep_disutility, 0.001);
	if theta_fat=. then fatigue_utility=.; else fatigue_utility = round (1 - fat_disutility, 0.001);
	if theta_pain=. then pain_utility=.; else pain_utility = round (1 - pain_disutility, 0.001);
	if theta_phys=. then physical_utility=.; else physical_utility = round (1 - physical_disutility, 0.001);
	if theta_slp=. then sleep_utility=.; else sleep_utility = round (1 - sleep_disutility, 0.001);
	if theta_sr=. then social_utility=.; else social_utility = round (1 - social_disutility, 0.001); run;


/* clean up dataset */
data PROPrData; set PROPrData; 
 drop multi_attribute_disutility  to_dead   
 turncog1 	turncog2 	turncog3 	turncog4 	turncog5 	turncog6 	turncog7 	turncog8 	turncog9 		turndep1 	turndep2 	turndep3 	turndep4 	turndep5 	turndep6 	turndep7 	turndep8 	turndep9 		turnfat1 	turnfat2 	turnfat3 	turnfat4 	turnfat5 	turnfat6 	turnfat7 	turnfat8 	turnfat9 		turnpain1 	turnpain2 	turnpain3 	turnpain4 	turnpain5 	turnpain6 	turnpain7 	turnpain8 	turnpain9 		turnphys1 	turnphys2 	turnphys3 	turnphys4 	turnphys5 	turnphys6 	turnphys7 	turnphys8 	turnphys9 		turnsleep1 	turnsleep2 	turnsleep3 	turnsleep4 	turnsleep5 	turnsleep6 	turnsleep7 	turnsleep8 		turnsocial1 	turnsocial2 	turnsocial3 	turnsocial4 	turnsocial5 	turnsocial6 	turnsocial7 	turnsocial8 	turnsocial9 
slopecog1 	slopecog2 	slopecog3 	slopecog4 	slopecog5 	slopecog6 	slopecog7 	slopecog8 			slopedep1 	slopedep2 	slopedep3 	slopedep4 	slopedep5 	slopedep6 	slopedep7 	slopedep8 			slopefat1 	slopefat2 	slopefat3 	slopefat4 	slopefat5 	slopefat6 	slopefat7 	slopefat8 			slopepain1 	slopepain2 	slopepain3 	slopepain4 	slopepain5 	slopepain6 	slopepain7 	slopepain8 			slopephys1 	slopephys2 	slopephys3 	slopephys4 	slopephys5 	slopephys6 	slopephys7 	slopephys8 			slopesleep1 	slopesleep2 	slopesleep3 	slopesleep4 	slopesleep5 	slopesleep6 	slopesleep7 			slopesocial1 	slopesocial2 	slopesocial3 	slopesocial4 	slopesocial5 	slopesocial6 	slopesocial7 	slopesocial8 	
interceptcog1 	interceptcog2 	interceptcog3 	interceptcog4 	interceptcog5 	interceptcog6 	interceptcog7 	interceptcog8 	interceptdep1 	interceptdep2 	interceptdep3 	interceptdep4 	interceptdep5 	interceptdep6 	interceptdep7 	interceptdep8 			interceptfat1 	interceptfat2 	interceptfat3 	interceptfat4 	interceptfat5 	interceptfat6 	interceptfat7 	interceptfat8 			interceptpain1 	interceptpain2 	interceptpain3 	interceptpain4 	interceptpain5 	interceptpain6 	interceptpain7 	interceptpain8 			interceptphys1 	interceptphys2 	interceptphys3 	interceptphys4 	interceptphys5 	interceptphys6 	interceptphys7 	interceptphys8 			interceptsleep1 	interceptsleep2 	interceptsleep3 	interceptsleep4 	interceptsleep5 	interceptsleep6 	interceptsleep7 			interceptsocial1 	interceptsocial2 	interceptsocial3 	interceptsocial4 	interceptsocial5 	interceptsocial6 	interceptsocial7 	interceptsocial8 	
c_cognition c_depression c_fatigue c_pain c_physical c_sleep c_social c
cog_disutility dep_disutility fat_disutility pain_disutility physical_disutility sleep_disutility social_disutility; run;