тойм статистик лекц 2

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  • 1. 1. , ,

2. , 2 3. , , : 3 4. 4 5. / 5 6. ? (Central Tendency) / 6 7. : .7 8. : . . 8 9. _X k X kn K .9 10. . K=1 _X X n 10 11. i xi8 112.6x 12.6 12.9 .. 13.1 i23 12.9 13.4minxi 45 12.2 13.6 8 8613.5max104 712.6 13.0813.1 812.99 12141511 12. (extreme values) .N11 2 34 55 x 1 2 3 4 5i x1 i 1 3.055N11 2 34 105 x 1 2 3 4 10i x2 i 1 6.01255 13. =0 X X1 X 2 ...X n X n nX % - 13 14. .Mo ., . 14 15. 20 1.1 29 2.3 34 4.1 M 41 5.3 = 41 4.3 42 6.7 43 8.2 45 4515 16. (50%,50%-) . Me . . 50% 50% 1.1 2.3 4.1 4.3 5.3 6.7 8.2 16 17. (OX PLOT) Q1 MeQ3 25% 50% 75%1.12.3 4.1 4.3 5.36.7 8.2 Q1 Q217 18. 9 . d1 (10%), d2(20%),d9 (90%) . 99 . p1(1%), p2 (2%),p99 (99%) .18 19. 19 20. : . 20 21. /Range 21 22. : . x1,x2,..xn n X :_ 22 23. .R=Xmax-Xmin1.1 2.3 4.1 4.3 5.3 6.78.2 R=Xmax-Xmin=8.2-1.1=7.123 24. R=Xmax-Xmin N1 1.1 2.3 4.1 4.3 5.3 6.7 8.2 N2 1.1 1.2 1.3 1.4 1.5 1.6 8.2 R1=Xmax-Xmin=8.2-1.1=7.1 R2=Xmax-Xmin=8.2-1.1=7.124 25. : 2( X X ) s n1 2 25 26. X X X X 2NX1 1.1-3.47 12.042 2.3-2.275.153 4.1-0.470.224 5.3 0.730.535 4.3-0.270.076 6.7 2.134.547 8.2 3.63 13.184.570.01 35.73X X 2s 2 35.73 5.95n 126 27. X X :235.73s 2.44n 16X X X N11.1-3.47 12.04 2.3 22 -2.275.15 s 34.1-0.470.22n 145.3 0.730.5354.3-0.270.0766.7 2.134.5478.2 3.63 13.18 4.570.01 35.7327 28. s 7.93 2.81s 0.75 0.866 28 29. Q1Me Q3 1.12.34.3 6.7 8.2 Q3- Q1 6.7- 2.3 4.41.1 2.3 4.14.3 5.3 6.78.2Q1 Q2 29 30. .s pq 2 p - q - 30 31. . 30 % - (p=0.3). 70% (q=0.7). 2=pq=0.3*0.7=0.2131 32. sVs *100%x 33 % . 32 33. X X :235.73s 2.44 n 1 6N Xs2.4411.1-3.47 12.04 Vs 100% 100% 53.39%22.3-2.275.15 x4.5734.1-0.470.2245.3 0.730.5354.3-0.270.0766.7 2.134.5478.2 3.63 13.18 4.570.01 35.73 33 34. . . : , . 25201510 5 034 5-10 10-1515-2020-2525-3030-3535-4040-45 35. 50% === 35 36. 50%50% 36 37. 37 38. ? . , . ANOVA 38 39. --, Skewness, Kurtosis box plot, P-P plot Kolmogorov- Q-Q plot Smirnov test,39 40. 1. 2. -1 1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7 9 1 1 1 1 1 1 3 3 4 6 7 7 9 9 9 9 9 9Min = -1, Q1 = 3, Me = 4, Q3 = 5, Min = 1, Q1 = 1, Me = 5, Q3 = 9,Max = 9 Max = 9 40 41. () 15X L Z1 / 2 368 (1.96) 362.12 n 25 15XU Z1 / 2 368 (1.96) 373.88 n 25 n=25, =0.05 (95% CI) [362.12; 373.88]41 41 42. = (p) - :X p nn 0 p1 n p .42 43. p1 p0.041 0.04 L pZ 0.04 1.96 0.036 n 10000 p1 p0.041 0.04 L pZ 0.04 1.96 0.044 n 10000 n=10000, =0.05 (95% CI) [0.036 ; 0.044] 43 44. , , , , . , , . 44 45. 12001000800600400200 Std. Dev = 12,29Mean = 42,10 N = 6400,00 20,0 30,0 40,0 50,0 60,0 70,025,0 35,0 45,0 55,0 65,0 75,0 45 Age in years 46. Hospital beds per 1000001300120011001000Kyrgyzstan900 CISCARK800700600500 1980 1985 199019952000 2005 201046 47. , 2 ( 2 ) 47 48. 48 49. Figure 6: Health expenditure, by sources of financing (1996-2003)Source: MoH, Health sector, 2003100% 3.5 6.1 6.46.17.3 7.17.490%80%26 24.9 37.8 31.8 28.728.5 42.370%60%50%40% 67.6 68.960.9 64.364.130%58.6 51.620%10% 0% 1996 19981999 20002001 20022003 State budgetHealth Insurance FundUser fee and others 49 50. 50