ÉúÎïͳ¼ÆÑ§¿ÎºóϰÌâ´ð°¸£¨¶ÅÈÙå¹µÚÈý°æ£© ÏÂÔØ±¾ÎÄ

µÚÒ»Õ ͳ¼ÆÊý¾ÝµÄÊÕ¼¯ÓëÕûÀí

1.1 ËãÊõƽ¾ùÊýÊÇÔõÑù¼ÆËãµÄ£¿ÎªÊ²Ã´Òª¼ÆËãÆ½¾ùÊý£¿

´ð£ºËãÊýƽ¾ùÊýÓÉÏÂʽ¼ÆË㣺

y??yi?1nin£¬º¬ÒåΪ½«È«²¿¹Û²âÖµÏà¼ÓÔÙ±»¹Û²âÖµµÄ¸öÊý³ý£¬ËùµÃÖ®É̳ÆÎª

ËãÊõƽ¾ùÊý¡£¼ÆËãËãÊýƽ¾ùÊýµÄÄ¿µÄ£¬ÊÇÓÃÆ½¾ùÊý±íʾÑù±¾Êý¾ÝµÄ¼¯Öе㣬»òÊÇ˵ÊÇÑù±¾Êý¾ÝµÄ´ú±í¡£ 1.2 ¼ÈÈ»·½²îºÍ±ê×¼²î¶¼ÊǺâÁ¿Êý¾Ý±äÒì³Ì¶ÈµÄ£¬ÓÐÁË·½²îΪʲô»¹Òª¼ÆËã±ê×¼²î£¿

´ð£º±ê×¼²îµÄµ¥Î»ÓëÊý¾ÝµÄԭʼµ¥Î»Ò»Ö£¬ÄܸüÖ±¹ÛµØ·´Ó³Êý¾ÝµØÀëÉ¢³Ì¶È¡£

1.3 ±ê×¼²îÊÇÃèÊöÊý¾Ý±äÒì³Ì¶ÈµÄÁ¿£¬±äÒìϵÊýÒ²ÊÇÃèÊöÊý¾Ý±äÒì³Ì¶ÈµÄÁ¿£¬Á½ÕßÖ®¼äÓÐʲô²»Í¬£¿´ð£º±äÒìϵÊý¿ÉÒÔ˵ÊÇÓÃÆ½¾ùÊý±ê×¼»¯Á˵ıê×¼²î¡£ÔڱȽÏÁ½¸öƽ¾ùÊý²»Í¬µÄÑù±¾Ê±ËùµÃ½á¹û¸ü¿É¿¿¡£ 1.4 ÍêÕûµØÃèÊöÒ»×éÊý¾ÝÐèÒªÄöÌØÕ÷Êý£¿´ð£ºÆ½¾ùÊý¡¢±ê×¼²î¡¢Æ«Ð±¶ÈºÍÇͶȡ£

1.5 ϱíÊÇÎÒ¹úÇàÄêÄÐ×ÓÌåÖØ£¨kg£©¡£ÓÉÓÚ²âÁ¿¾«¶ÈµÄÒªÇ󣬴ӱíÃæÉÏ¿´ÏñÊÇÀëÉ¢ÐÍÊý¾Ý£¬²»ÒªÍü¼Ç£¬ÌåÖØÊÇͨ¹ý¶ÈÁ¿µÃµ½µÄ£¬ÊôÓÚÁ¬ÐøÐÍÊý¾Ý¡£¸ù¾Ý±íÖÐËù¸ø³öµÄÊý¾Ý±àÖÆÆµÊý·Ö²¼±í¡£

66

70 60 67 64 59 66 62 66 62 64 59 38 66 69

69 64 66 68 66 66 68 69 65 67 67 67 62 63 70

64 58 65 62 68 65 64 70 67 71 66 61 67 65 63

65 67 61 63 64 63 65 68 66 69 64 68 65 63 64

64 66 61 70 63 56 71 65 74 65 60 69 65 67 65

66 66 66 65 60 66 61 63 64 65 61 66 69 68 64

68 67 67 64 64 63 63 65 69 75 68 64 65 66 67

65 66 62 65 69 63 61 66 65 62 67 69 67 62 67

62 66 65 62 65 66 64 64 64 69 63 65 65 63 65

64 62 65 66 66 67 64 68 65 68 59 68 72 61 66

69 66 61 62 67 63 67 69 65 68 65 67 66 66 62

61 66 64 63 67 70 69 65 68 65 60 64 67 61 61

61 64 62 68 67 67 70 63 67 63 64 64 64 63 65

68 62 64 65 65 70 66 67 65 66 63 66 61 68 65

66 62 65 68 67 62 64 63 65 66 69 69 64 65 60

57 65 62 57 67 64 65 70 66 65 62 73 66 66 63

66 64 65 67 66 72 64 65 67 62 71 68 63 69 65

69 65 68 66 68 69 63 68 72 61 69 60 63 64 62

66 66 68 68 64 67 70 67 65 68 60 60 66 66 66

65 72 65 63 67 67 64 69 67 65 63 63 66 70 64

´ð£ºÊ×ÏȽ¨Á¢Ò»¸öÍⲿÊý¾ÝÎļþ£¬Ãû³ÆºÍ·¾¶Îª£ºE:\\data\\exer1-5e.dat¡£ËùÓõÄSAS³ÌÐòºÍ¼ÆËã½á¹ûÈçÏ£º

proc format; value hfmt

56-57='56-57' 58-59='58-59' 60-61='60-61' 62-63='62-63' 64-65='64-65' 66-67='66-67' 68-69='68-69' 70-71='70-71' 72-73='72-73' 74-75='74-75'; run;

data weight;

infile 'E:\\data\\exer1-5e.dat'; input bw @@; run; proc freq; table bw; format bw hfmt.; run;

The SAS System

Cumulative

Cumulative

BW Frequency Percent Frequency

Percent

-----------------------------------------------------

56-57 3 1.0 3

1.0

58-59 4 1.3 7

2.3

60-61 22 7.3 29

9.7

62-63 46 15.3 75

25.0

64-65 83 27.7 158

52.7

66-67 77 25.7 235

78.3

68-69 45 15.0 280

93.3

70-71 13 4.3 293

97.7

72-73 5 1.7 298

99.3

74-75 2 0.7 300

100.0

1.6 ½«ÉÏÊöÎÒ¹úÄÐÇàÄêÌåÖØ¿´×÷Ò»¸öÓÐÏÞ×ÜÌ壬ÓÃËæ»úÊý×Ö±í´Ó¸Ã×ÜÌåÖÐËæ»ú³é³öº¬Á¿Îª10µÄÁ½¸öÑù±¾£¬·Ö±ð¼ÆËãËüÃÇµÄÆ½¾ùÊýºÍ±ê×¼²î²¢½øÐбȽϡ£ËüÃÇµÄÆ½¾ùÊýÏàµÈÂ𣿱ê×¼²îÏàµÈÂð£¿Äܹ»½âÊÍΪʲôÂ𣿴ð£ºÓÃmeans¹ý³Ì¼ÆË㣬Á½¸öÑù±¾·Ö±ð³ÆÎªy1ºÍy2£¬½á¹û¼ûÏÂ±í£º

Dev 3.5039660 3.1780497

The SAS System

Variable N Mean Std ---------------------------------------- Y1 10 64.5000000 Y2 10 63.9000000 ----------------------------------------

Ëæ»ú³é³öµÄÁ½¸öÑù±¾£¬ËüÃÇµÄÆ½¾ùÊýºÍ±ê×¼²î¶¼²»ÏàµÈ¡£ÒòΪÑù±¾Æ½¾ùÊýºÍ±ê×¼²î¶¼ÊÇͳ¼ÆÁ¿£¬Í³¼ÆÁ¿ÓÐ×Ô¼ºµÄ·Ö²¼£¬ºÜÄѵõ½Æ½¾ùÊýºÍ±ê×¼²î¶¼ÏàµÈµÄÁ½¸öÑù±¾¡£

1.7 ´ÓÒ»¸öÓÐÏÞ×ÜÌåÖвÉÓ÷ǷŻØÊ½³éÑù£¬ËùµÃµ½µÄÑù±¾ÊǼòµ¥µÄËæ»úÑù±¾Âð£¿ÎªÊ²Ã´£¿±¾¿Î³ÌÒªÇó

µÄÑù±¾¶¼ÊÇËæ»úÑù±¾£¬Ó¦µ±²ÉÓÃÄÄÖÖ³éÑù·½·¨£¬²ÅÄÜ»ñµÃÒ»Ëæ»úÑù±¾£¿

´ð£º²»ÊǼòµ¥µÄËæ»úÑù±¾¡£´ÓÒ»¸öÓÐÏÞ×ÜÌåÖÐÒÔ·Ç·Å»ØÊ½³éÑù·½·¨³éÑù£¬ÔÚǰºóÁ½´Î³éÑùÖ®¼ä²»ÊÇÏ໥¶ÀÁ¢µÄ£¬ºóÒ»´ÎµÄ³éÑù½á¹ûÓëǰһ´Î³éÑùµÄ½á¹ûÓйØÁª£¬Òò´Ë²»ÊÇËæ»úÑù±¾¡£Ó¦²ÉÓÃËæ»ú³éÑùµÄ·½·¨³éÈ¡Ñù±¾£¬¾ßÌå˵Ӧµ±²ÉÓ÷ŻØÊ½³éÑù¡£ 1.8 Ö¤Ã÷µÈ£¿

´ð£º£¨1£©Áî yi??yi?C

Ôò y??y?C ƽ¾ùÊýÌØÐÔÖ®¢Û¡£

2????y?y?ii?1nn??y??y?????y2ii?1i?1nni?y?,2yÆäÖÐyi??yi?C¡£yi??iC»òyi??Cyi±àÂëʱ£¬Ç°Ê½ÊÇ·ñÈÔÈ»ÏàÈôÓÃ

????yi?C???y?C??i?1n2

£¨2£© Áî Ôò

yi?????yi?y?i?12yiC

y??yC ƽ¾ùÊýÌØÐÔÖ®¢Ú¡£

??y??y??ii?1nn2y??y???i??C?i?1?C?2??y?y?ii?12n2C

ÓõڶþÖÖ±àÂ뷽ʽ±àÂë½á¹û£¬Á½Ê½²»ÔÙÏàµÈ¡£

1.9 ÓÐÒ»¸öÑù±¾£ºy1,y2,?,yn£¬ÉèBΪÆäÖÐÈÎÒâÒ»¸öÊýÖµ¡£Ö¤Ã÷Ö»Óе±B?yʱ£¬

n??y?B?i?12×îС¡£ÕâÊÇÆ½¾ùÊýµÄÒ»¸öÖØÒªÌØÐÔ£¬ÔÚºóÃæ½²µ½Ò»ÔªÏßÐͻعéʱ»¹»áÓõ½¸ÃÌØÐÔ¡£

2???y?B?2?0??p?y?B??B´ð£ºÁî £¬ ΪÇóʹp´ï×îС֮B£¬Áî

Ôò

2??y?B??0y?B??yn ¡£

1.10 ¼ì²â¾ú·ÊµÄ¹¦Ð§£¬ÔÚÊ©Óоú·ÊµÄÍÁÈÀÖÐÖÖֲСÂ󣬳ÉÃçºó²âÁ¿Ãç¸ß£¬¹²100Ö꣬Êý¾ÝÈçÏÂ[1]£º

10.0

9.3

7.2

9.

1

8.5

9.6 10.1

8.0 10.5 10.6

7.0 10.0 10.0 8.3

6.7 7.5 9.9

9.5 7.2 7.5

8.6 10.0

6.6 10.0 6.5 6.5 7.8

8.0 7.6 7.8 6.9

8.4 8.6 5.0 3.5

10.5 4.6

7.10.5 7.9 8.1 9.6 7.6 9.4 8

5.7.3 8.7 7.1 6.1 5.2 6.8 0

4.7.6 7.0 9.7 6.2 8.0 6.9 5

4.4.9 7.0 8.3 8.4 7.8 7.5 8 9.8.5 11.0 9.7 6.6 10.0 5.0 5

8.7.4 7.4 8.1 7.7 7.5 7.1 3

6.7.0 6.4 6.7 6.3 6.4 11.0 0

8.7.0 7.4 5.2 6.7 9.0 8.6 0

6.9.7 6.4 5.8 6.4 9.3 6.4 2

±àÖÆÃç¸ßµÄƵÊý·Ö²¼±í£¬»æÖÆÆµÊý·Ö²¼Í¼£¬²¢¼ÆËã³ö¸ÃÑù±¾µÄËĸöÌØÕ÷Êý¡£

´ð£ºÊ×ÏȽ¨Á¢Ò»¸öÍⲿÊý¾ÝÎļþ£¬Ãû³ÆºÍ·¾¶Îª£ºE:\\data\\exr1-10e.dat¡£SAS³ÌÐò¼°½á¹ûÈçÏ£º

options nodate;

proc format; 3.5-4.4='3.5-4.4' 4.5-5.4='4.5-5.4' 5.5-6.4='5.5-6.4' 6.5-7.4='6.5-7.4' 7.5-8.4='7.5-8.4' 8.5-9.4='8.5-9.4' 9.5-10.4='9.5-10.4' 10.5-11.4='10.5-11.4'; run;

value hfmt

data wheat;

infile 'E:\\data\\exr1-10e.dat'; run;

input height @@;

proc freq;

table height; run;

proc capability graphics noprint; var height;

histogram/vscale=count;

inset mean var skewness kurtosis; run;

The SAS System

The FREQ Procedure

format height hfmt.;