;
proc print; id f;
var Futailp t df tutailp; title 'T-Test for Non-Primal Data'; run;
½á¹ûÈçÏ£º
T-Test for Non-Primal Data
F FUTAILP T DF
TUTAILP
1.18830 0.41320 8.32277 19.0000 4.6339E-8
1.18830 0.41320 8.43110 18.1369 5.4346E-8
Ê×ÏÈ¿´F¼ìÑ飬·½²îÆëÐÔ¼ìÑéÊÇË«²à¼ìÑ飬µ±ÏÔÖøÐÔ¸ÅÂÊP <0.025ʱ¾Ü¾øH0£¬ÔÚÕâÀïP£½0.41£¬Òò´Ë·½²î¾ßÆëÐÔ¡£·½²î¾ßÆëÐÔʱµÄt¼ìÑ飬¿´µÚÒ»ÐеĽá¹û£¬ÆäÉϲàÎ²ÇøµÄÏÔÖøÐÔ¸ÅÂÊPÊÇÒ»¸ö·Ç³£Ð¡µÄÖµ£¬Ô¶Ô¶Ð¡ÓÚ0.005¡£Òò´Ë¾Ü¾øH0£¬5£ôÇÉ«°·¶ÔѪҺÖÐѪÇåËØµÄº¬Á¿Óм«ÏÔÖøµÄÓ°Ïì¡£
5.11 ÒÔÿÌìÿǧ¿ËÌåÖØ52
mol 5£ôÇÉ«°·´¦Àí¼ÒÍà 14Ììºó£¬ÌåÖØ±ä»¯Èçϱí[9]£º
¶ÔÕÕ×é 5£ôÇÉ«°·´¦Àí×é ¼ìÑé5£ôÇÉ«°·¶Ô¶¯ÎïÌåÖØµÄÓ°ÏìÊÇ·ñÏÔÖø£¿
y/kg 0.26 0.21 s /kg 0.22 0.18 20 20 n ´ð£ºÊ×ÏÈ£¬¼Ù¶¨×ÜÌå½üËÆ·þ´ÓÕý̬·Ö²¼£¨ÎÄÏ×ÖÐûÓиø³ö£©¡£ ·½²îÆëÐÔ¼ìÑéµÄͳ¼Æ¼ÙÉèΪ£º
H0£º?1??2HA£º?1??2
¸ù¾ÝÌâÒ⣬±¾Àýƽ¾ùÊý²îµÄÏÔÖøÐÔ¼ìÑéÊÇË«²à¼ìÑ飬ͳ¼Æ¼ÙÉèΪ£º
H0£º?1??2HA£º?1??2
³ÌÐò²»ÔÙ¸ø³ö£¬½á¹ûÈçÏ£º
T-Test for Non-Primal Data
F FUTAILP T DF
TUTAILP
1.49383 0.19477 0.78665 38.0000
0.21818
1.49383 0.19477 0.78665 36.5662
0.21828
·½²îÆëÐÔ¼ìÑ飺P >0.025£¬·½²î¾ßÆëÐÔ¡£t ¼ìÑ飺ÉϲàÎ²ÇøÏÔÖøÐÔ¸ÅÂÊP >0.025£¬Òò´Ë£¬ÉÐÎÞ×ã
¹»µÄÀíÓɾܾøH0£¬5£ôÇÉ«°·¶Ô¶¯ÎïÌåÖØµÄÓ°Ïì²»ÏÔÖø¡£
5.12 18Ë꺺×åÄÐÇàÄêÓë18Ëêά×åÄÐÇàÄê50Ã×Åܳɼ¨£¨s£©Èçϱí[10]£º ºº×壺n£½150 y£½7.48 s£½0.48 ά×壺n£½100 y£½7.41 s£½0.69 ÎÊ£º£¨1£©¼ìÑéÁ½Õ߯½¾ù³É¼¨²îÒìÊÇ·ñÏÔÖø£¿
£¨2£©¼ìÑéÁ½¸öÃñ×å¸öÌå¼ä³É¼¨µÄÕûÆë³Ì¶È²îÒìÊÇ·ñÏÔÖø£¿
´ð£ºÊ×ÏÈ£¬¼Ù¶¨×ÜÌå½üËÆ·þ´ÓÕý̬·Ö²¼£¨ÎÄÏ×ÖÐûÓиø³ö£©£¬Ôò·½²îÆëÐÔ¼ìÑéµÄͳ¼Æ¼ÙÉèΪ£º
H0£º?1??2HA£º?1??2
¸ù¾ÝÌâÒ⣬±¾Àýƽ¾ùÊý²îµÄÏÔÖøÐÔ¼ìÑéÊÇË«²à¼ìÑ飬ͳ¼Æ¼ÙÉèΪ£º
H0£º?1??2HA£º?1??2
½á¹ûÈçÏ£º
T-Test for Non-Primal Data
F FUTAILP T DF TUTAILP
2.06641 .000029498 0.94606 248.000 0.17252
2.06641 .000029498 0.88213 161.981 0.18951
´Ó½á¹ûÖпÉÒÔ¿´³ö£º£¨1£©·½²îÆëÐÔ¼ìÑé±íÃ÷£¬Á½Õß·½²î²»¾ßÆëÐÔ¡£ÕâÒ²¾Í»Ø´ðÁ˵ڶþÎÊ£¬Á½¸öÃñ×å¸öÌå¼ä³É¼¨µÄÕûÆë³Ì¶È²îÒìÏÔÖø¡££¨2£©ÓÉÓÚ·½²î²»¾ßÆëÐÔ£¬Ó¦¿´½á¹ûµÄµÚ¶þÐС£¼ìÑéͳ¼ÆÁ¿tµÄÏÔÖøÐÔ¸ÅÂÊP£½0.189 51£¬P >0.025£¬½áÂÛÊǺº×åºÍά×å18ËêÄÐÇàÄê50Ã×ÅÜÆ½¾ù³É¼¨²îÒì²»ÏÔÖø¡£
5.13 Ò»ÖÖÄÚÉúÕæ¾ú(Piriformospora indica) ÇÖȾ´óÂóºó£¬¿ÉÒÔÌá¸ßÆä²úÁ¿¡£Îª´Ë£¬×öÁËÒÔÏÂÊÔÑé¶Ô¸Ã¼ÙÉè½øÐмìÑ飬ËùµÃ½á¹ûÈçϱí[11]£º
y/s / -1£¨g ¡¤ pot£© £¨g ¡¤ pot-1£© ÇÖȾ×é 59.9 1.73 δÇÖȾ×é 53.9 3.61 ¼ìÑéÇÖȾ×éÓëδÇÖȾ×éµÄ²úÁ¿²îÒìÊÇ·ñÏÔÖø?
´ð£ºÊ×ÏÈ£¬¼Ù¶¨×ÜÌå½üËÆ·þ´ÓÕý̬·Ö²¼£¨ÎÄÏ×ÖÐûÓиø³ö£©£¬Ôò·½²îÆëÐÔ¼ìÑéµÄͳ¼Æ¼ÙÉèΪ£º
H0£º?1??2HA£º?1??2
n 6 6 ¸ù¾ÝÌâÒ⣬±¾Àýƽ¾ùÊý²îµÄÏÔÖøÐÔ¼ìÑéÊÇË«²à¼ìÑ飬ͳ¼Æ¼ÙÉèΪ£º
H0£º?1??2HA£º?1??2
½á¹ûÈçÏ£º
T-Test for Non-Primal Data
F FUTAILP T DF TUTAILP
4.35434 0.066115 3.67137 10.0000 .0021537
4.35434
0.066115
3.67137
7.1815 .0038003
ͳ¼ÆÁ¿FµÄÏÔÖøÐÔ¸ÅÂÊP£½0.066 115£¬P>0.025£¬½áÂÛÊÇ·½²î¾ßÆëÐÔ¡£ÔÚ·½²î¾ßÆëÐÔʱ£¬t¼ìÑéʹÓõÚÒ»ÐеĽá¹û¡£Í³¼ÆÁ¿tµÄÏÔÖøÐÔ¸ÅÂÊP£½0.002 153 7£¬P <0.005¡£Òò´Ë£¬ÇÖȾ×éÓëδÇÖȾ×éµÄ²úÁ¿²îÒ켫ÏÔÖø¡£
5.14 ÔÚÒ»Ïî¹ØÓÚÈé·¿XÏßÕÕÆ¬¼ÆËã»úÐÖúÕï¶Ï£¨computer-aided diagnosis£¬CAD£©µÄÑо¿ÖУ¬µÃµ½Ï±íÖеĽá¹û[12]£º
ÓÉ10Ãû·ÅÉäѧҽÉú¶ÔÈé·¿XÏßÕÕÆ¬²ÉÓÃÈýÖÖ¶ÁƬ·½Ê½ËùµÃµ½µÄAZÒ½Éú±àºÅ 1 2 3 4 5 6 7 8 9 10 ´ð£º
H0£º?d?0(0.90)µÄÖµ
¶ÀÁ¢ÔĶÁ 0.13 0.41 0.17 0.46 0.20 0.48 0.52 0.54 0.15 0.22 ²»ÓÃCADÁ¬ÐøÔĶÁ 0.22 0.35 0.30 0.45 0.24 0.22 0.43 0.49 0.06 0.17 ½èÖúCADÁ¬ÐøÔĶÁ 0.63 0.52 0.30 0.73 0.48 0.31 0.56 0.46 0.18 0.21 ÕâÊÇÒ»ÏîÅä¶ÔÉè¼Æ£¬ÔÚÈýÖÖ¶ÁƬ·½Ê½ÖÐÁ½Á½±È½ÏËüÃǵIJîÒìÏÔÖøÐÔ¡£
?d?0 HA£º£¨1£©¶ÀÁ¢ÔĶÁÓë²»ÓÃCADÁ¬ÐøÔĶÁ¼äµÄ²îÒìÏÔÖøÐÔ¼ìÑé¡£
ËùÓóÌÐòÈçÏ£º
data sorty; input y1 y2 @@; y=y1-y2; cards;
0.13 0.22 0.41 0.35 0.17 0.30 0.46 0.45 0.20 0.24 0.48 0.22 0.52 0.43 0.54 0.49 0.15 0.06 0.22 0.17 ;
proc sort; by y; data norm; n=10;
do i=1 to n by 1;
p=(i-1/3)/(n+1/3); u=probit(p); output ; end; data combine;
merge sorty norm ; symbol v=star; proc gplot; plot y*u; run;
proc means n mean stderr t prt; var y;
title1 'Paired T-Test';
title2 'Read Independently - Read without CAD'; run;
ÔڸóÌÐòÖУ¬µÚÒ»¸öPROCÓï¾äÊÇÅÅÐò¹ý³Ì£¬µÚ¶þ¸öPROCÓï¾äÊÇÖÆÍ¼¹ý³Ì£¬µÚÈý¸öPROCÓï¾äÊÇMEANS¹ý³Ì¡£GPLOT¹ý³ÌÓÃÀ´¼ìÑé×ÜÌåµÄÕý̬ÐÔ£¬MEANS¹ý³ÌÓÃÀ´×öt¼ìÑé¡£½á¹ûÈçÏ£º
Paired T-Test
Read Independently - Read without CAD Analysis Variable : Y
N Mean Std Error T Prob>|T|
------------------------------------------------------ 10 0.0350000 0.0344561 1.0157856 0.3363
------------------------------------------------------ Õý̬¸ÅÂÊͼÖеÄÉ¢µãËäÈ»²»Éõ¼¯ÖУ¬µ«Ç÷ÊÆÈÔÈ»ÊÇÒ»ÌõÖ±Ïߣ¬¿ÉÒÔÈÏΪÊǽüËÆÕý̬·Ö²¼µÄ¡£Í³¼ÆÁ¿
tµÄÏÔÖøÐÔ¸ÅÂÊP£½0.336 3£¬P >0.05¡£Òò´Ë£¬¶ÀÁ¢¶ÁƬºÍ²»ÓÃCADÁ¬Ðø¶ÁƬµÄ½á¹û²îÒì²»ÏÔÖø¡£
£¨2£©¶ÀÁ¢ÔĶÁÓë½èÖúCADÁ¬ÐøÔĶÁ¼äµÄ²îÒìÏÔÖøÐÔ¼ìÑé¡£ ËùÓóÌÐòÓ루1£©»ù±¾ÉÏÊÇÒ»ÑùµÄ£¬ÕâÀï²»ÔÙ¸ø³ö£¬Ö»¸ø³ö½á¹û£º