US 9,811,504 B1
Lifespan in multivariable binary regression analyses of mortality and survivorship
Michael Epelbaum, Nashville, TN (US)
Filed by Michael Epelbaum, Nashville, TN (US)
Filed on May 29, 2017, as Appl. No. 15/607,598.
Application 15/607,598 is a continuation in part of application No. 14/536,238, filed on Nov. 7, 2014, abandoned.
Claims priority of provisional application 61/962,502, filed on Nov. 8, 2013.
Int. Cl. G06F 17/18 (2006.01)
CPC G06F 17/18 (2013.01) 16 Claims
OG exemplary drawing
 
1. A method for including and distinguishing lifespan in multivariable binary regression analysis of one of mortality and survivorship, said method comprising:
at least one of obtaining and creating data about N individuals i at respective J situations j, said data including variable Yij and at least two variables Xvij;
conducting a multivariable binary regression analysis of said data, analyzing the relationship between a dependent variable Yij and independent variables Xvij for one of Yij=Mij and Yij=Sij, said analyzing utilizing model nij0vXvij+ . . . +βWXWij and binary link function B(nij);
effectuating said multivariable binary regression analysis into yielding at least one result of said analysis;
wherein at least one of the steps is carried out by a computer; and
wherein:
i=1:N, indicating that i are sequential positive integers 1 through N;
i denotes an individual;
N denotes the total number of individuals i in said data;
j=1:J, indicating that j are sequential positive integers 1 through J;
j denotes a situation of individual i in reference to said variables Xvij and Yij;
J denotes the total number of situations of an individual i in said data, allowing distinct J for distinct individuals i;
Mij denotes the mortality status of individual i at situation j;
Sij denotes the survivorship status of individual i at situation j;
Yijε{0,1}, indicating that Yij is a binary variable that adopts one of values 0 and 1 for one of Yij=Mij and Yij=Sij of individual i at situation j;
v=1:W, indicating that v are sequential positive integers 1 through W;
W≧2;
v denotes an index of each of the following: variables Xv, variables Xvij of individual i at situation j, and coefficients βv;
W denotes the following: total number of variables Xv, total number of variables Xvij of individual i at situation j, and total number of coefficients βv;
Xvij denotes a variable Xv of individual i at situation j;
r=1:R, indicating that r are sequential positive integers 1 through R;
R≧2;
W≧R;
r denotes an index of each of the following: variables Kr and variables Krij;
Kr denotes a variable that directly denotes a distinct phenomenon, and R respective variables Kr respectively directly denote R distinct phenomena;
Krij denotes a variable Kr of individual i at situation j;
T denotes a transformation function, allowing identity transformation;
q=1:Q, indicating that q are sequential positive integers 1 through Q;
Xv=Tq(Kr), indicating that Xv is a transformation Tq of variable Kr that directly denotes a specific phenomenon, further indicating that Xv indirectly denotes said specific phenomenon;
Xvij=Tq(Krij), indicating that Xvij is a transformation Tq of Krij that directly denotes a specific phenomenon, further indicating that Xvij indirectly denotes said specific phenomenon;
Q denotes the total number of transformations Tq(Kr) for a specific Kr, and Q also denotes the the total number of transformations Tq(Krij) for a specific Krij of individual i at situation j, allowing distinct Q for distinct variables Kr, and allowing distinct Q for distinct variables Krij of individual i at situation j;
R denotes the following: the total number of variables Kr, the total number of variables Krij of individual i at situation j, the total number of phenomena denoted by variables Kr, and the total number of phenomena denoted by variables Krij of individual i at situation j;
A directly denotes age;
L directly denotes lifespan;
K1=A and K2=L, indicating that one of at least two variables Kr directly denotes age, and indicating that another of said at least two variables Kr directly denotes lifespan;
K1ij=Aij and K2ij=Lij, indicating that one of at least two variables Krij directly denotes the age of individual i at situation j, and indicating that another of said at least two variables Krij directly denotes the lifespan of individual i at situation j;
β denotes a regression coefficient; and
β0 denotes the regression coefficient for the intercept, allowing β0 to be one of the following: estimated, suppressed, and user-provided.