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Distribución Normal

Distribución Normal. valor - p. VARIABLES NUMÉRICAS. VARIABLES NUMÉRICAS. Medidas de la Tendencia Central y Variabilidad. 95%. 95 %. Promedio aritmético ± desviación standard  ±  x ± s. Percentiles P 1 P 99. . 50%. 0.50. 50%. 0.50. - . + . .

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Distribución Normal

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  1. Distribución Normal valor - p

  2. VARIABLES NUMÉRICAS

  3. VARIABLES NUMÉRICAS Medidas de la Tendencia Central y Variabilidad 95% 95% • Promedio aritmético ± desviación standard •  ±  • x ± s Percentiles P1 P99

  4. 50% 0.50 50% 0.50 -  +   DISTRIBUCION NORMAL

  5. 50% 50% -  +       + 1.96 - 1.96 DISTRIBUCION NORMAL 95%

  6.  = 0 Z = -1 Z = 0 Z = 1  = 1 Valores de z DISTRIBUCIÓN NORMAL ESTÁNDAR EJE Z PROB( 0  Z  1 ) = 0.3413 PROB( - 1  Z  1 ) = 0.6826

  7.  = 0 Z = - 1.96 Z = 0 Z = 1.96  = 1 Valores de z 0.4750 x2 = 0.95 = 95% PROB ( - 1.96Z  1.96 ) = DISTRIBUCIÓN NORMAL ESTÁNDAR EJE Z PROB( 0  Z  1.96 ) = 0.4750

  8.  = 0 Z = 0 Z = 1.96  = 1 Valores de z 0.5 + 0.4750 = 0.9750 PROB (Z  1.96 ) = DISTRIBUCIÓN NORMAL ESTÁNDAR EJE Z PROB( 0  Z  1.96 ) = 0.4750

  9.  = 0 PROB (Z 1.96 ) = 0.5 - 0.4750 = 0.0250 0.5 Z = 0 Z = 1.96 PROB( 0  Z  1.96 ) = 0.4750  = 1 Valores de z DISTRIBUCIÓN NORMAL ESTÁNDAR PROB (Z 1.96 ) = ? EJE Z

  10.  = 0 -1.84 -1.08 0.87 1.45 PROB( 0  Z  1.45 ) = 0.4265 PROB( 0  Z  0.87 ) = 0.3078  = 1 Valores de z PROB ( 0.87  Z  1.45 ) = 0.4265 – 0.3078 = .0485 DISTRIBUCIÓN NORMAL ESTÁNDAR 0.1072 0 EJE Z

  11. CURVA NORMAL ESTANDAR p( xi 1.4528) = ? p( Z  1.69 ) = ?  = 0  = 1 O.4545 xi = 1 .4528 EJE Z 1.69 Z = 0 Z = Xi-  Z = = 1.69 0.0455  Concepto de valor-p CALCULO DE PROBABILIDADES Log TGPS = 1.25  = 0.12 ( sin Hepatitis ) EJE X  = 1.25

  12. O.4545 CALCULO DE PROBABILIDADES Log TGPS = 1.25  = 0.12 ( sin Hepatitis ) F+ = 4.55% EJE X  = 1.25 1.4528 NORMA ESPECIFICIDAD RECHAZAR 95.45 %

  13. CALCULO DE PROBABILIDADES Log TGPS = 1.55  = 0.13 ( con Hepatitis ) F- =22.66% 77.34 % EJE X  = 1.55 1.4528 NORMA NO RECHAZAR RECHAZAR SANGRE SENSIBILIDAD

  14. Pruebas Diagnosticas  1) Variable separadora 2) Criterio de Positividad SIN HEPATITIS ( - ) α Norma 1 .4528 F+ = 4.55% S= 0.12 CON HEPATITIS ( + )  s = 1.25 E= 0.13 F- = 22.66% β E = 1.55 TEST NEGATIVO TEST POSITIVO ESPECIFICIDAD SENSIBILIDAD

  15. Calcular falsos positivos Especificidad, falsos negativos y sensibilidad para cada NORMA • NORMA : • 1.40 • 1.54 • 1.35 • 1.25 • 1.50

  16. VALORES PREDICTIVOS DE UN TEST VALORES PREDICTIVO DEL TEST POSITIVO 77.34 % T + Sensib. 12% 22.66% Prev. E V P T + F- T - Prev. Sens. Espec F+ T + S 4.55% 1 - Prev. 88% Especif. 95.45 T -

  17. VALORES PREDICTIVOS DE UN TEST VALORES PREDICTIVO DEL TEST POSITIVO 77.34 % T + Sensib. 12% 22.66% Prev. E F- T - Prev. Sens. Espec F+ T + S 4.55% 1 - Prev. V P T - 88% Especif. 95.45 T -

  18. V P T - V P T + Norma TEST NEGATIVO TEST POSITIVO SANOS ( - ) ENFERMOS ( + ) α ESPECIFICIDAD β SENSIBILIDAD

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