abdullah's picture
Add files using upload-large-folder tool
ac87599 verified
raw
history blame
35.7 kB
1
00:00:20,990 --> 00:00:25,190
ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃุชุญุฏุซ ุนู†
2
00:00:25,190 --> 00:00:31,690
ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ ููŠ ู‡ุฐุง ุงู„ูƒุชุงุจ ุงู„ุญุฏุซ 12 ูŠุชุญุฏุซ ุนู† ู†ูˆุน
3
00:00:31,690 --> 00:00:46,590
ุฌุฏูŠุฏ ูŠุณู…ู‰ ูƒุงูŠ ุณูƒูˆูŠุฑ ุชุณุช ุญุฏุซ 11 ูƒุงูŠ
4
00:00:46,590 --> 00:00:47,090
ุณูƒูˆูŠุฑ
5
00:00:54,810 --> 00:01:01,070
CHI is pronounced as Chi and
6
00:01:01,070 --> 00:01:07,970
denoted by this symbol Chi square. Chi ุญุฑู ูŠูˆู†ุงู†ูŠ
7
00:01:07,970 --> 00:01:12,870
Greek letter ุฒูŠ Alpha ูˆ Beta ูˆ ุบูŠุฑู‡ุง ู‚ุจู„ู‡ุง ูู‡ุฐุง
8
00:01:12,870 --> 00:01:17,890
ุงู„ุฑู…ุฒ ุชุจุนู‡ ุฒูŠ ุงู„ X ุจุณ ุฅูŠุชุงู„ูŠูƒ ุดูˆูŠุฉ ูˆุนู„ูŠู‡ ุงู„ square
9
00:01:17,890 --> 00:01:23,670
Chi square. ูู‡ุฐุง ูŠู†ูุฐ ูƒุงูŠ ุฒูŠ alpha ุฒูŠ beta ู‡ุฏูˆู„
10
00:01:23,670 --> 00:01:29,470
agricultural ูˆุงุญุฏ ู…ู† ุงู„ุฃุญุฑู ุงู„ูŠูˆู†ุงู†ูŠุฉ ุงุณู…ู‡ ูƒุงูŠ
11
00:01:29,470 --> 00:01:34,290
ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู…ู† ุบูŠุฑ ุงู„ square ูƒุงูŠ
12
00:01:34,290 --> 00:01:40,070
ุงูƒุชุจูŠ ูƒูŠุงุจ ุงู„ุนุฑุจูŠ ูƒุงูŠ
13
00:01:40,070 --> 00:01:44,910
there
14
00:01:44,910 --> 00:01:48,150
is only one objective in this chapter: how and when
15
00:01:48,930 --> 00:01:52,170
to use the chi-square test for contingency tables
16
00:01:52,170 --> 00:01:59,130
ูƒูŠู ูˆู…ุชู‰ ุฃูˆ ู…ุชู‰ ูˆูƒูŠู ูŠู…ูƒู† ุงุณุชุฎุฏุงู… ุงู„ test ู„ุญุงุฌุฉ
17
00:01:59,130 --> 00:02:02,890
ุงุณู…ู‡ุง contingency tables. Now we will start with
18
00:02:02,890 --> 00:02:06,470
the definition of contingency tables. What does
19
00:02:06,470 --> 00:02:10,210
contingency table mean? ุงูŠุด ุจู‚ุตุฏ ุจุงู„ contingency
20
00:02:10,210 --> 00:02:17,060
table? ุงูŠุด ู…ุนู†ุงู‡ุŸ ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉ contingency tables
21
00:02:17,060 --> 00:02:20,300
are useful in situations comparing multiple populations'
22
00:02:20,300 --> 00:02:26,580
proportions. ุจุณุชุฎุฏู…ู‡ู… ู„ุนู…ู„ ู…ู‚ุงุฑู†ุฉ proportions ู…ู…ูƒู†
23
00:02:26,580 --> 00:02:29,600
ุงุชู†ูŠู† ุฃูˆ ุฃูƒุซุฑ ูŠุนู†ูŠ two or more populations
24
00:02:29,600 --> 00:02:34,040
proportions. You classify sample observations
25
00:02:34,040 --> 00:02:37,300
according to two or more characteristics. ุฎุฏู†ุง
26
00:02:37,300 --> 00:02:40,800
ู‚ุจู„ู‡ุง ููŠ chapter 10 ู„ู…ุง ุจู†ุญูƒูŠ male ูˆ female ูˆ
27
00:02:40,800 --> 00:02:43,840
ุจู†ุญูƒูŠ yes ูˆ no. ู‡ุฐูˆ ู†ุณู…ูŠู‡ two characteristics
28
00:02:45,040 --> 00:02:47,120
Sometimes we have more than two characteristics
29
00:02:47,120 --> 00:02:54,120
like what's your opinion about ุฃุดูŠุงุก ู…ุนูŠู†ุฉ ุดุบู„ุฉ
30
00:02:54,120 --> 00:02:58,560
ู…ุนูŠู†ุฉ either agree or disagree. ู‡ุฐุง ู†ุณู…ูŠู‡ two
31
00:02:58,560 --> 00:03:03,400
proportions, but sometimes we could have strongly
32
00:03:03,400 --> 00:03:08,160
agree, agree, disagree, and strongly disagree. ูููŠ ู‡ุฐู‡
33
00:03:08,160 --> 00:03:12,880
ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุฃูˆ ุฃุฑุจุน ู…ู‚ุงุฑู†ุงุช. ููƒูŠู ูŠู…ูƒู†ู†ุง
34
00:03:12,880 --> 00:03:16,000
ุฃู† ู†ุฌุนู„ ู…ู‚ุงุฑู†ุฉ ุงู„ contingency table ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง
35
00:03:16,000 --> 00:03:17,540
ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
36
00:03:17,540 --> 00:03:19,880
ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
37
00:03:19,880 --> 00:03:20,580
ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
38
00:03:20,580 --> 00:03:21,100
ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
39
00:03:21,100 --> 00:03:23,000
ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
40
00:03:23,000 --> 00:03:34,590
ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุงุชูˆุงูู‚ุŒ ุฎู„ู‘ูŠู‡ุง ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
41
00:03:34,590 --> 00:03:37,530
ูˆุฎู„ุงุต ูƒู†ุชูŠู† ุฌู†ุณ ุชุงุจุน ูŠุนู†ูŠ ุจุชูƒูˆู† ุนู†ุฏูƒ .. ุจุชุนู…ู„
42
00:03:37,530 --> 00:03:41,150
comparison between two or more populations'
43
00:03:41,150 --> 00:03:45,130
proportions. ุฃูˆู„ ุฌุงุจุชูˆุฏ ุฅู† ุดุงุก ุงู„ู„ู‡ just example
44
00:03:45,130 --> 00:03:48,530
for two characteristics. ู„ูˆ ูƒู†ุง ููŠู‡ุง ุนู†ุฏ ุงุชู†ูŠู†
45
00:03:48,530 --> 00:03:52,850
ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ูˆุถูˆุน ุงู„ูŠูˆู… ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุดู‡ุฑ
46
00:03:52,850 --> 00:03:56,270
ุนุดุฑุฉ ููŠ ุดู‡ุฑ ุนุดุฑุฉ ุฃุฎุฏู†ุง comparing between two
47
00:03:56,270 --> 00:04:00,030
proportions. ู‡ู†ุง ุจุฑุถู‡ ู‡ู†ุงุฎุฏ comparing two
48
00:04:00,030 --> 00:04:03,020
population proportions. ูŠุนู†ูŠ ุงู„ู„ูŠ ุญู„ู„ู†ุงู‡ ููŠ ุดุจุงุท
49
00:04:03,020 --> 00:04:08,520
ุงู„ุนุดุฑุฉ ุจู…ู…ูƒู† ุฃู† ู†ุญู„ู‡ ุจู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ุชุจุน comparing
50
00:04:08,520 --> 00:04:11,800
two population proportions. For example, ุงู„
51
00:04:11,800 --> 00:04:13,900
contingency ุชุงุจุน ุนุดุงู† ู†ุนุฑู ุฅูŠุด ู…ูุฑูˆุถ ุงู„
52
00:04:13,900 --> 00:04:17,860
contingency ุชุงุจุน. ุจุชูƒู„ู… ุงู„ example ุนู„ู‰ left-handed
53
00:04:17,860 --> 00:04:25,760
versus gender. ุจุชุนุฑู ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠูƒูˆู† ุจูŠุณุชุฎุฏู… ุงู„
54
00:04:25,760 --> 00:04:30,220
left hand or ุงู„ right hand. ูู…ู…ูƒู† ุงู„ dominant hand
55
00:04:30,220 --> 00:04:36,300
ุชูƒูˆู† left. ูŠุนู†ูŠ ุงู„ู…ุณูŠุทุฑ dominant ู…ุนู†ุงู‡ ู…ุณูŠุทุฑ ุฃูˆ
56
00:04:36,300 --> 00:04:40,810
ู…ู‡ูŠู…ู† ุนู„ูŠูƒ. ุชุณุชุฎุฏู… either left hand or right hand.
57
00:04:40,810 --> 00:04:44,250
ูููŠ ุนู†ุฏูŠ two characteristics. Either I use my left
58
00:04:44,250 --> 00:04:47,750
or your right hand, and the other variable is
59
00:04:47,750 --> 00:04:51,450
called gender, either male or female. So in this
60
00:04:51,450 --> 00:04:53,910
case, there are two characteristics for each
61
00:04:53,910 --> 00:04:56,910
variable. So there are two variables, each one has
62
00:04:56,910 --> 00:05:00,890
two characteristics: either male and female or use
63
00:05:00,890 --> 00:05:08,350
left or right hand. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ 2 ู…ุฌู…ูˆุนุงุช ู„ูƒู„
64
00:05:08,350 --> 00:05:17,430
ู…ุฌู…ูˆุนุฉ ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
65
00:05:17,430 --> 00:05:20,330
ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
66
00:05:20,330 --> 00:05:23,170
ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
67
00:05:23,170 --> 00:05:23,510
ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
68
00:05:23,510 --> 00:05:23,890
ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
69
00:05:23,890 --> 00:05:28,510
ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
70
00:05:28,510 --> 00:05:38,080
ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ูˆุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุฃุนุทุงู†ู‰ ู‡ุฐุง ุงู„ูˆุถุน hand
71
00:05:38,080 --> 00:05:42,980
preference. ุงู„ูŠุฏ ุงู„ู„ูŠ ูˆุงุญุฏ ุจูŠุณุชุฎุฏู…ู‡ุง ูˆุงู„ู…ูุถู„ุฉ ู„ู‡
72
00:05:42,980 --> 00:05:50,680
ูˆ ู‡ุง ุงู„ gender. ูู…ุงูŠู„ ูˆู…ุงูŠู„ ูˆ left ูˆ right ู„ุฐู„ูƒ
73
00:05:50,680 --> 00:05:58,480
ู…ุฑุฉ ุฃุฎุฑู‰ ู„ุฏูŠู†ุง ู…ุซุงู„ 300 ุฃุทูุงู„. ู‡ุฐุง ุงู„ู…ุซุงู„ ูŠุนุทูŠ ู‡ุฐุง
74
00:05:58,480 --> 00:06:06,940
ุงู„ูˆุถุน. ู‡ู†ุงูƒ ุงุชุฎุงุฐูŠู† ุงู„ุฎูŠุงุฑ ุงู„ูŠุฏ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ
75
00:06:06,940 --> 00:06:07,740
ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ
76
00:06:07,740 --> 00:06:09,040
ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
77
00:06:09,040 --> 00:06:09,560
ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
78
00:06:09,560 --> 00:06:09,680
ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
79
00:06:09,680 --> 00:06:13,680
ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
80
00:06:13,680 --> 00:06:18,660
ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
81
00:06:18,660 --> 00:06:25,340
ุฃูˆ ูŠุณุฑ ุฃูˆ
82
00:06:25,340 --> 00:06:30,280
108 ู‡ูˆ ุนุฏุฏ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ููŠ ู‡ุฐุง ุงู„ูˆุตูุŒ ู„ุฐู„ูƒ
83
00:06:30,280 --> 00:06:33,500
ุนุฏุฏ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ู‡ูˆ 300ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ ุนุฏุฏ ุงู„ุฃุทูุงู„
84
00:06:33,500 --> 00:06:39,820
ุงู„ู…ุฌุชู…ุนูŠ. ุนุฏุฏ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ุฑูˆูŠุฉ ูˆู„ุฏูŠู†ุง ุฃูŠุถู‹ุง ุนุฏุฏ
85
00:06:39,820 --> 00:06:45,820
ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ูƒูˆู„ูˆู…ุฉ. ู‡ุฐุง ุงู„ุนุฑุถ ูŠุณู…ู‰ 2x2 ู„ุฃู† ู‡ู†ุงูƒ
86
00:06:45,820 --> 00:06:53,870
2 ุฑูˆูŠุฉ ูˆ 2 ูƒูˆู„ูˆู…ุฉ. ุฃู†ุง ู„ุง ุฃุญุณุจ ุนุฏุฏ ุงู„ุฃุทูุงู„. ูˆุงุญุฏุฉ ุจู†ุตูˆู
87
00:06:53,870 --> 00:06:56,450
ูˆ ู„ุงุนุจ ุฏู‡ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ ุจูŠู†ุญุณุจ ุจุณ ุงู„
88
00:06:56,450 --> 00:06:59,650
characteristics. ู„ุนู†ุฏูŠ ุงู„ male ูˆ female left ูˆ
89
00:06:59,650 --> 00:07:04,570
right. ุจุงู„ุชุงู„ูŠ there are two rows ูˆ ุงุซู†ูŠู† ูˆ two
90
00:07:04,570 --> 00:07:08,770
columns. ู†ุจุฏุฃ ุจุงู„ุฑูˆู ุงู„ุฃูˆู„. two rows and two columns
91
00:07:08,770 --> 00:07:12,130
so this table is called two by two. So in this case,
92
00:07:12,130 --> 00:07:17,690
sample size n is 300. Among these 300, there are 120
93
00:07:17,690 --> 00:07:26,630
females. ูˆ ุจูŠู† ู‡ุฐุง ุงู„ุฑู‚ู… ูŠูˆุฌุฏ 12 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ
94
00:07:26,630 --> 00:07:31,690
180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180
95
00:07:31,690 --> 00:07:36,350
ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
96
00:07:36,350 --> 00:07:36,430
ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
97
00:07:36,430 --> 00:07:36,510
ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
98
00:07:36,510 --> 00:07:41,530
ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
99
00:07:41,530 --> 00:07:46,970
ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180
100
00:07:46,970 --> 00:07:51,370
ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู†. ุงู„ุขู† ุงู„ null ูˆุงู„ alternate
101
00:07:51,370 --> 00:07:55,010
hypothesis ุงู„ุชูŠ ุชุญุฏุซู†ุง ุนู†ู‡ุง ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ. ุงู„
102
00:07:55,010 --> 00:08:00,830
null ู‡ูŠ ุงู„ hypothesis. p1 ูŠู‚ู„ p2. ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
103
00:08:00,830 --> 00:08:04,250
ู…ุฌู…ูˆุนุฉ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุชู‚ู„ ู„ู…ุฌู…ูˆุนุฉ
104
00:08:04,250 --> 00:08:08,050
ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ. ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฅู†ุงุซ ุงู„ู„ูŠ
105
00:08:08,050 --> 00:08:10,090
ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰ ุจูŠุณุชุฎุฏู…ูˆุง ู†ุณุจุฉ ุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ
106
00:08:10,090 --> 00:08:15,270
ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰. ู†ุญู† ู†ุฌุฑุจ ู‡ุฐู‡ ุงู„ hypothesis ุงู„ุชุงู„ูŠุฉ
107
00:08:15,270 --> 00:08:17,830
ุถุฏ ุงู„ hypothesis ุงู„ุชุบูŠูŠุฑูŠุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู…ุชุณุงูˆูŠุฉ
108
00:08:17,830 --> 00:08:21,170
ุจูˆุงุณุทุฉ ุงุซู†ูŠู†. ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ุงุชุฌุงุฑุงุช ุงู„ุงุซู†ูŠู† ู„ูŠุณุช
109
00:08:21,170 --> 00:08:22,210
ู…ุชุณุงูˆูŠุฉ. ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู…ุชุณุงูˆูŠุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
110
00:08:22,210 --> 00:08:28,650
ุจูˆุงุณุทุฉ ุงุซู†ูŠู†. ุงู„ุขู† ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุฑุฑ ุฃู†
111
00:08:28,650 --> 00:08:32,610
ู†ุชูุฑุฌ ุฃูˆ ู„ุง ู†ุชูุฑุฌ ุนู„ู‰ ู†ู‚ุทุฉ ุฃุฒุฑุน ุจุณุจุจ ู…ุตุงุฏู‚ุฉ ุฌุฏูŠุฏุฉ
112
00:08:32,610 --> 00:08:37,930
ุงุณู…ู‡ุง test chi-square. ุงุฎุชุจุงุฑ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ู†ุณู…ูŠู‡ chi
113
00:08:37,930 --> 00:08:40,170
-square. ู…ุตุงุฏู‚ุฉ chi-square. ู…ุตุงุฏู‚ุฉ
114
00:08:44,440 --> 00:08:51,960
ูƒุงูŠ ุณูƒูˆูŠุฑ ุฃุณุชุงุฐ equals f
115
00:08:51,960 --> 00:08:59,100
observed minus f expected squared. Then we have
116
00:08:59,100 --> 00:09:07,200
summation all cells. Now where fo it's called
117
00:09:07,200 --> 00:09:12,460
observed frequency in particular cell. Cell ู…ุนู†ุงู‡ุง
118
00:09:13,500 --> 00:09:16,820
ุฎู„ูŠุฉ. ูˆุฎู„ูŠุฉ ู…ุนู†ุงู‡ุง ู‡ู†ุง ููŠ ุงู„ table. In this case,
119
00:09:16,820 --> 00:09:22,060
there are four cells. ู‡ุฏูˆู„ cell head cell ู…ูŠุฉ ูˆ
120
00:09:22,060 --> 00:09:25,920
ุซู…ุงู†ูŠู† cell. ู…ูŠุฉ ูˆ ุซู…ุงู†ูŠู†. 24 cell. One fifty six
121
00:09:25,920 --> 00:09:30,580
cell. So there are four cells. So in this case, there
122
00:09:30,580 --> 00:09:35,680
are four cells. Now f o is called observed
123
00:09:35,680 --> 00:09:39,100
frequency.
124
00:09:41,650 --> 00:09:44,890
observed ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ table. ูŠุนู†ูŠ 12ุŒ
125
00:09:45,290 --> 00:09:50,470
108ุŒ 24ุŒ 156. They are called observed frequencies.
126
00:09:50,470 --> 00:09:56,350
is an observed ุงู„ู…ุนุชู†ูŠู‡ู… ููŠ ุงู„ table. ุงู„ F E
127
00:09:56,350 --> 00:10:01,090
expected frequency.
128
00:10:03,890 --> 00:10:06,810
ูˆูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุญุณูŠู† ุงู„ Expected Frequencies ู„ูƒู„
129
00:10:06,810 --> 00:10:10,750
ุฌู‡ุฉ. ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุญุณุจ ุงู„ Expected Frequency. ูƒูŠู
130
00:10:10,750 --> 00:10:16,790
ุณู†ุญุณุจู‡ุงุŸ ุณู†ุฑู‰ ุจุนุฏ ู‚ู„ูŠู„. ูุงู„ FO
131
00:10:16,790 --> 00:10:21,730
ูŠุณู…ู‰ ุจ Observed Frequency ูˆ FE ุจ Expected Frequency.
132
00:10:21,730 --> 00:10:27,190
ุฅุฐุง ูƒุงู†ุช ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุง ู†ุญุณุจ ุงู„ FE ุจุงูุชุฑุงุถ ุฃู†ู‡
133
00:10:27,190 --> 00:10:31,650
ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุง. ุงู„ุขู† ู‡ุฐุง ุงู„ุงุณู…ุŒ ุงู„ุงุณู… ูƒุงูŠ ุณูƒูˆุงุฑ
134
00:10:31,650 --> 00:10:40,430
ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ
135
00:10:40,430 --> 00:10:44,350
ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ
136
00:10:44,350 --> 00:10:47,190
ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ.
137
00:10:47,190 --> 00:10:51,650
ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
138
00:10:51,650 --> 00:10:57,730
ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ.
139
00:10:57,730 --> 00:10:58,050
ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
140
00:10:58,050 --> 00:10:59,250
ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ู‡ูŠ Sky
141
00:10:59,250 --> 00:11:02,690
-square distribution with one degree of freedom.
142
00:11:02,690 --> 00:11:06,590
ุฅุฐุง ุฅู„ู‡ ุชูˆุฒูŠุน ู…ุฑุจุน ูƒุงูŠ ุจุฏุฑุฌุงุช ุญุฑูŠุฉ ุจุณุงูˆุฉ ูˆุงุญุฏ. ููŠ
143
00:11:06,590 --> 00:11:11,010
assumption as we used in T-test and Z-test. In this
144
00:11:11,010 --> 00:11:15,350
case, each cell in the contingency table. ูƒู„ cell ููŠ
145
00:11:15,350 --> 00:11:20,030
ุงู„ table has expected frequency of at least five.
146
00:11:20,030 --> 00:11:23,810
ูŠุนู†ูŠ ู„ู…ุง ุจุญุณุจ expected frequency ู„ุงุฒู… ูŠูƒูˆู† ุนู„ู‰
147
00:11:23,810 --> 00:11:29,970
ุงู„ุฃู‚ู„ ุจุณุงูˆุฉ ุฎู…ุณุฉ. ู‡ูŠ ุงู„ุดุฑุท ุชุจุนู†ุง. ู‡ูˆ ุฏู‡ ุงู„ุดุฑุท. Is
148
00:11:29,970 --> 00:11:39,430
always for two by two. Now again the chi-square
149
00:11:39,430 --> 00:11:44,530
statistic test approximately follows chi-square
150
00:11:44,530 --> 00:11:47,610
distribution with one degree of freedom. ู„ูˆ ุชุทู„ุน
151
00:11:47,610 --> 00:11:52,010
ุนู„ู‰ ุงู„ shape ุชุจุน ุงู„ chi-square. Is it symmetricุŸ ู‡ู„
152
00:11:52,010 --> 00:11:57,720
ู‡ูˆ ู…ุชู…ุซู„ุŸ ู„ุฃ. Skewed right ูˆู„ุง leftุŸ Right. ู„ุฃู† ุงู„
153
00:11:57,720 --> 00:12:02,380
right tail is longer than left tail. ูˆ actually
154
00:12:02,380 --> 00:12:07,680
there is no left tail. ุฏุงุฆู…ู‹ุง positive ุฃูˆ non
155
00:12:07,680 --> 00:12:13,220
-negative. ู…ุจุฏุฃ ู…ู† ุงู„ zero. ูุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ู‹ุง right
156
00:12:13,220 --> 00:12:21,000
skewed. ูˆ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ู‹ุง non-negative. ุฅุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
157
00:12:21,000 --> 00:12:21,260
ุณูƒูˆูŠุฑ
158
00:12:27,270 --> 00:12:36,650
ู‡ูŠ ุงู„ุฌุฏูˆู„ ุงู„ู„ูŠ
159
00:12:36,650 --> 00:12:40,510
ุนู†ุฏูƒ
160
00:12:40,510 --> 00:12:49,490
ููŠ ุงู„ุขุฎุฑ. ุงู„ุฌุฏูˆู„ ููŠ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฃุนุชู‚ุฏ
161
00:12:49,490 --> 00:12:50,210
282
162
00:13:08,200 --> 00:13:15,780
287. ุฅุฐุง ุงู„ table ุงู„ู„ูŠ ุจุญูƒูŠ ุนู„ูŠู‡ on page 287.
163
00:13:15,780 --> 00:13:22,600
287. ุฅุฐุง ู‡ุฐุง ูƒุงูŠ ุณูƒูˆูŠุฑ table ุฒูŠ ุงู„ T ุจุงู„ุธุจุท. ุงู„
164
00:13:22,600 --> 00:13:25,820
table ุดูƒู„ู‡ ุงู„ T ู„ูƒู† ุทุจุนู‹ุง ุงู„ T negative ูˆ positive.
165
00:13:25,820 --> 00:13:31,550
ู‡ู†ุง ุจุณ positive. ุงูŠู‡ ุนู†ุฏูŠ ุงู„ right tail is longer. ููŠ
166
00:13:31,550 --> 00:13:35,170
ุนู†ุฏ ุงู„ rows represent degrees of freedom. ุงู„ุตููˆู
167
00:13:35,170 --> 00:13:39,450
ุชู…ุซู„ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉ. ูˆ ุงู„ columns represent the area
168
00:13:39,450 --> 00:13:44,490
to the right. I mean Alpha. ูููŠ
169
00:13:44,490 --> 00:13:49,390
ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณู†ุณุชุฎุฏู… Df equal one. ูุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ
170
00:13:49,390 --> 00:13:54,290
ุฅุฐุง Alpha ู‡ูˆ 5% ุซู…
171
00:13:54,290 --> 00:13:58,090
K square Alpha ู‡ูˆ 3.84.
172
00:14:02,330 --> 00:14:05,190
ู„ุฐู„ูƒ ูู‚ุท ุชุจุญุซ ุนู† ุนุฏุฏ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
173
00:14:05,190 --> 00:14:10,590
ูู‡ู†ุงูƒ ูˆุงุญุฏ ูู‚ุท. ุฃูŠุถู‹ุง ุชุจุญุซ ุนู† ุนุฏุฏ ุฃู„ู ุฃุนู†ูŠ ุงู„ุนุฏุฏ
174
00:14:10,590 --> 00:14:18,130
ุงู„ูˆุงุญุฏ. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู 5%. ู„ุฐู„ูƒ ูˆุงุญุฏ ุถุฏ 5 ู‡ูˆ 3.84.
175
00:14:18,130 --> 00:14:22,630
ุทุฑูŠู‚ุฉ ุงุณุชุฎุฏุงู…ู‡ ุฒูŠ ุงู„ T ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ. ุฒูŠูƒ
176
00:14:22,630 --> 00:14:31,010
ุจุงุณุชุฎุฏุงู… ูƒุงูŠ ุณูƒูˆุงุฑุช ุชุงุจูˆุฑ. ู…ุฑุฉ ุฃุฎุฑู‰ ุฅุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
177
00:14:31,010 --> 00:14:35,950
ุณูƒูˆุงุฑ ุชู‚ุน ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต ู…ู†ู‡ุง. ุซู… ู†ุชุฎู„ุต ู…ู†ู‡ุง.
178
00:14:35,950 --> 00:14:43,650
ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู†ุชุญุฏุซ ุนู†ู‡ ุนุฏุฉ ู…ุฑุงุช. ู…ุฑุฉ ุฃุฎุฑู‰ ูƒุงูŠู†
179
00:14:43,650 --> 00:14:48,910
ุณูƒูˆุงุฑ ู…ุฑุชุจุท ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ูˆุฅุฐุง
180
00:14:48,910 --> 00:14:53,070
ู‚ูŠู…ุฉ ูƒุงูŠู† ุณูƒูˆุงุฑ ุงู„ุงู†ุชุฌุงุฑุงุช ุชุชุฎู„ุต ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต
181
00:14
216
00:17:52,420 --> 00:17:57,820
ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑ 12%ุŒ ุนุฏุฏ ุงู„ู€ females 120 ู…ุน ูƒุฏู‡
217
00:17:57,820 --> 00:18:01,920
ู‚ุฏ ุงูŠุด ู†ุณุจุฉ ุงู„ู€ females ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰ ุจุชูˆู‚ุนุŸ
218
00:18:01,920 --> 00:18:08,040
ุนุฏุฏู‡ู… ู‡ูˆ ุงู„ู€ number of females 120ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ุงูŠุด
219
00:18:08,040 --> 00:18:13,260
ุจุชูˆู‚ุน ูŠูƒูˆู† ุนุฏุฏู‡ู…ุŸ ุงู„ู€ 120 ููŠ 12%ุŒ ู…ุด ู‡ูŠูƒุŸ ุงูŠุด
220
00:18:13,260 --> 00:18:22,620
ุจุชุณุงูˆูŠุŸ 14.4 ุทูŠุจ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ males ุงูŠุด ุนุฏุฏู‡ู…ุŸ 180
221
00:18:22,620 --> 00:18:27,300
ุงูŠุด ุจุชูˆู‚ุน ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูŠ ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ุŸ ุงู„ู€ 180 ููŠ 12%ุŒ
222
00:18:27,300 --> 00:18:30,760
ู…ุด ู‡ูŠูƒุŸ ุจูŠุทู„ุน 21.6
223
00:18:33,510 --> 00:18:38,030
ุฅุฐุง ู‡ุงูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ู€ expected frequency ุจุชุทู„ุน ุงู„ู€
224
00:18:38,030 --> 00:18:42,850
overall proportion ูˆุจุถุฑุจู‡ุง ููŠ ุงู„ู€ number of males ุฃูˆ
225
00:18:42,850 --> 00:18:49,130
ุงู„ู€ raw total ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุงู„ุขู†
226
00:18:49,130 --> 00:19:00,710
ุงู„ู€ 12ุŒ 108ุŒ 24ุŒ 156 ู‡ุฏูˆู„ ุงูŠุด ุณู…ูŠู†ุงู‡ู…ุŸ observed ุทุจ ุงู„ู€
227
00:19:00,710 --> 00:19:02,510
expected ุทู„ุนู†ุงู‡ุง ุจุชุณุงูˆูŠ
228
00:19:05,100 --> 00:19:11,480
14.4 ู…ุด ู‡ูŠูƒุŸ ู‡ุฐูˆู„ ุฃู†ุง ู…ุชูˆู‚ุน ูŠูƒูˆู†ูˆุง ู…ุงู„ู‡ู…ุŸ ุจูŠุณุชุฎุฏู…ูˆุง
229
00:19:11,480 --> 00:19:18,260
ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ู…ู† ุงู„ู€ female ูˆู‡ู†ุง ุทู„ุนูˆุง 21.6 ู…ุด ู‡ูŠูƒุŸ
230
00:19:18,260 --> 00:19:22,220
ุงู„ู„ูŠ ุฃู†ุง ุชูˆู‚ุนุชูู‡ ุงู„ู€ left ุทุจ ูˆุงู„ู€ right ุงูŠุด ู‡ูŠูƒูˆู†
231
00:19:22,220 --> 00:19:30,140
ุงู„ู…ูƒู…ู„ ู„ู‡ุง ู…ุธุจูˆุทุŸ ุฃูˆ ุจุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ 12% overall
232
00:19:30,140 --> 00:19:35,180
ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ูŠุณุฑู‰ุŒ ุงูŠุด ุจุชูˆู‚ุน ุงู„ูŠู…ู†ู‰ุŸ 88 ุฎู„ุงุตุŒ ุงุถุฑุจ ุงู„ู€
233
00:19:35,180 --> 00:19:42,980
88 ููŠ ุงู„ู€ 120 ุจูŠุนุทูŠูƒ 105.6 ุฃูˆ ุงุทุฑุญ 120 ู†ู‚ุต 14.4 ุฅุฐุง
234
00:19:42,980 --> 00:19:51,760
ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุทู„ุน ู…ู† ูˆูŠู†ุŸ 120 minus 14.4 ุทูŠุจ ุงู„ู„ูŠ
235
00:19:51,760 --> 00:19:56,700
ุจุนุฏู‡ุŸ ุทู„ุน 21.6 expected frequency ู„ู„ู€ 100 ุงู„ู„ูŠ
236
00:19:56,700 --> 00:20:00,400
ุจุชุณุชุฎุฏู… ุงู„ู€ leftุŒ ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ุงู„ู€ right ุงู„ุจุงู‚ูŠุŒ ู…ุด
237
00:20:00,400 --> 00:20:03,440
ู‡ูŠูƒุŸ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ุญูƒูŠุช ุซู„ุงุซูŠู† ู†ุฌุญูˆุง ู…ู†ูƒ ูˆุนุฏุฏูƒู…
238
00:20:03,440 --> 00:20:08,920
ุฎู…ุณูŠู†ุŒ ุงูŠุด ุจุชุจู‚ู‰ ู…ุด ู†ุงุฌุญุŸ ุนุดุฑูŠู†ุŒ ุงู„ู€ tackle ุชุจุนุชู‡ู…ุŒ
239
00:20:08,920 --> 00:20:14,320
ูู‚ุงู„ 180 minus 21.6 ุจูŠุญุทูŠู†ูŠ 158.4 ู‡ุฏูˆู„ ุงู„ู„ูŠ ุฃู†ุง
240
00:20:14,320 --> 00:20:19,700
ู…ุนู„ู…ู‡ู… ุจุงู„ุฃุณูˆุฏุŒ ู†ุณู…ูŠู‡ู… expected frequency ุฅุฐุง ููŠ
241
00:20:19,700 --> 00:20:26,220
ุนู†ุฏูŠ observed ูˆููŠ expectedุŒ ูƒู„ ุญุฃุนู…ู„ู‡ ุญุฃุญุณุจ ุงู„ู€ chi
242
00:20:26,220 --> 00:20:26,900
-square value
243
00:20:34,080 --> 00:20:37,440
ู„ุญุธุฉุŒ summation ู„ู€ all cells ุจุงุฎุฏ ูƒู„ cell ู…ู† ุงู„ู€
244
00:20:37,440 --> 00:20:45,180
table ูุงู„ู€ chi-square ุงู„ู€ stat ุญุชุณุงูˆูŠ ุฃูˆู„
245
00:20:45,180 --> 00:20:51,760
ูˆุงุญุฏุฉ 12 ู‡ุฐุง ุงู„ู€ observed ู…ุด ู‡ูŠูƒุŸ ุงูŠุด ุงู„ู€ expected ู„ู‡ุงุŸ
246
00:20:51,760 --> 00:20:59,060
14.4 squared ุนู„ู‰
247
00:20:59,060 --> 00:21:05,050
ู†ูุณ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ู€ first cellุŒ second cell ู…ุงุฐุง
248
00:21:05,050 --> 00:21:11,030
ูŠุชุณุงูˆูŠุŸ 108 - 105ยฒ
249
00:21:11,030 --> 00:21:15,370
ุนู„ู‰
250
00:21:15,370 --> 00:21:21,750
105 ุฒูŠ ู…ุง ุนู…ู„ุช ุงู„ู€ second cell ุจุนู…ู„ ู„ู…ู†ุŸ ู„ู„ุจุงู‚ูŠุฉ 24
251
00:21:21,750 --> 00:21:25,710
- 21.6
252
00:21:25,710 --> 00:21:31,270
plus
253
00:21:31,270 --> 00:21:33,130
the last one 156
254
00:21:41,160 --> 00:21:47,380
- 158.4 ู…ุฑุฉ ุซุงู†ูŠุฉ ุจุญุณุจ ุงู„ู€ overall proportion X1 plus
255
00:21:47,380 --> 00:21:52,240
X2 ุนู„ู‰ N1 plus N2 ุฃู†ุง ู…ู‡ุชู… ุจุงู„ู€ left handed ุจุงู„ุชุงู„ูŠ
256
00:21:52,240 --> 00:21:58,440
12 plus 24 ู‡ุฐูˆู„ ุงู„ู…ุฌู…ูˆุน ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑู‰ ููŠ ูƒู„
257
00:21:58,440 --> 00:22:01,480
ุงู„ู€ sample divide by ุงู„ู€ total ุชุจุน ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ
258
00:22:01,480 --> 00:22:10,370
300 ุทู„ุน 12%ุŒ ุจูŠุทู„ุน ู†ุณุจุฉ ุงู„ุงู†ุงุซ ูˆุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…
259
00:22:10,370 --> 00:22:14,770
ุงู„ูŠุฏ ูŠูˆุตู„ ู„ 12%ุŒ ุทุจ ู…ุด ุจุชูˆู‚ุน ูŠูƒูˆู† left ููŠ ุงู„ู€ fifth
260
00:22:14,770 --> 00:22:21,590
male ู‡ู… 120 ุนุฏุฏู‡ู… 120ุŒ ู…ุด ู‡ูŠูƒุŸ ุงู„ุนุงู… 12% ู…ู† ุงู„ู€ 120
261
00:22:21,590 --> 00:22:28,150
ุจูŠุทู„ุน 14.4%ุŒ ูˆู„ู„ู€ male ู†ูุณ ุงู„ุดูŠุก 180 ููŠ 12 ุจูŠุทู„ุน 21
262
00:22:28,150 --> 00:22:32,910
.6%ุŒ ูˆุทู„ุนู†ุง ุงู„ู€ complement ุทู„ุนุช ู„ู„ู€ right handers
263
00:22:34,520 --> 00:22:37,620
ุจุนุฏูŠู† ุทุจู‚ุช ุงู„ู‚ุงู†ูˆู† ุนู†ุฏูƒ if observed minus if
264
00:22:37,620 --> 00:22:43,140
expected squared ุนู„ู‰ ุงู„ู€ if expected ุจุฌู…ุน ู‡ุฏูˆู„ ุงู„ุฌูˆุงุจ
265
00:22:43,140 --> 00:22:52,580
ุจูŠุทู„ุน 0.7576 ู‡ุฐุง ุงู„ู€ value of
266
00:22:52,580 --> 00:22:58,740
the chi-square statisticุŒ ุงู„ู€ critical value ุทู„ุนู†ุงู‡ุง
267
00:22:58,740 --> 00:23:03,020
ู…ู† ุดูˆูŠุฉุŒ ู„ูˆ alpha 5% one degrees of
268
00:23:03,020 --> 00:23:10,970
freedom 3.84% ูƒู‚ูŠู…ุฉ ุนุงู…ุฉ ู†ู‚ู„ู†ุง ุงู„ู€ hypothesis ุงู„ุชุงู„ูŠุฉ ุฅุฐุง
269
00:23:10,970 --> 00:23:17,450
ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุฃูƒุซุฑ ู…ู† 3.84%ุŒ ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
270
00:23:17,450 --> 00:23:23,690
ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุญุฑุฌุฉ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุบูŠุฑ ุงู„ุญุฑุฌุฉุŸ ู‡ุฐู‡
271
00:23:23,690 --> 00:23:29,920
ุงู„ู‚ูŠู…ุฉ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุบูŠุฑ ุงู„ุญุฑุฌุฉ ูˆู‡ู†ุง ุงู„ู€ chi-square
272
00:23:29,920 --> 00:23:35,680
ุงู„ู€ statistic 0.7576 ุฃู‚ู„ ู…ู† ุงู„ู€ chi-square ุงู„ุฃู„ูุงุŒ ู„ุฐุง
273
00:23:35,680 --> 00:23:40,100
ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชุฑูุถ ุงู„ู€ hypothesisุŒ ุจุฑูุถ ุณูุฑูŠุฉ
274
00:23:40,100 --> 00:23:46,340
ุงู„ุตูุฑูŠุฉ. ุงูŠุด ุงู„ู€ conclusionุŸ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฃู†
275
00:23:46,340 --> 00:23:51,480
ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฎุชู„ูุฉุŒ ู…ุง ุนู†ุฏู†ุง
276
00:23:51,480 --> 00:23:56,170
ู…ุนุทูŠุงุช ุชุซุจุช ุฃู†ู‡ู… ุจูŠุณุงูˆูˆุง ุจุนุถ ู…ุน ูƒุฏู‡ ู…ุงููŠุด significant difference
277
00:23:56,170 --> 00:24:03,110
between males and females who used left hand ู‡ุฐุง
278
00:24:03,110 --> 00:24:06,970
ุงู„ุณุคุงู„ ู…ู…ูƒู† ู†ุญู„ู‡ ุนู„ู‰ ุดุจุทุฉ ุงู„ุนุดุฑุฉ ูˆู‡ูŠุนุทูŠูƒ ุงู„ู€ same
279
00:24:06,970 --> 00:24:12,570
result ููŠ
280
00:24:12,570 --> 00:24:15,790
ุฃูŠ ุณุคุงู„ุŸ
281
00:24:15,790 --> 00:24:22,370
ุทูŠุจ ู†ูุชุญ ุงู„ู€ practice ุนู„ู‰ ุดุจุทุฉ
282
00:24:26,660 --> 00:24:41,320
ุดุจุทุฉ ุงู„ู€ 11 ุดูˆูŠุฉ ุดูˆูŠุฉุŒ ู…ุณุงุก ุทู„ุน
283
00:24:41,320 --> 00:24:42,360
ุนู„ู‰ 11ุŒ 9
284
00:25:12,230 --> 00:25:13,990
ุงู„ู€ tables ุงู„ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง
285
00:25:27,680 --> 00:25:38,360
ููŠ ุนู†ุฏูŠ 41ุŒ 61ุŒ 109ุŒ 89 ูˆุทุงู„ุจ
286
00:25:38,360 --> 00:25:46,680
ุงู„ู€ test ูƒุงูŠุŒ ุจุญุณุจ ุงู„ู€ test ุนุดุงู† ุฃูˆู„ ุฎุทูˆุฉ ุฃุนู…ู„ู‡ุง ุฃุทู„ุน
287
00:25:46,680 --> 00:25:52,160
ุงู„ู€ B-ุŒ ุฃู†ุง ุจุญุงูˆู„ ุจุณ ุฃุนูŠุฏ ู†ูุณ ุงู„ู€ example ุงู„ู„ูŠ ูุงุช
288
00:25:52,160 --> 00:25:57,360
ุฃุชุฃูƒุฏ ุฃู† ุงู„ู€ steps ู…ุนุฑูˆูุฉ ุจุงู„ู†ุณุจุฉ ู„ู†ุงุŒ ุจูŠุทู„ุน ุงู„ู€
289
00:25:57,360 --> 00:26:07,060
overall proportion ุงู„ู„ูŠ 41 plus 109ุŒ ู„ูˆ ุชู‚ุฑุฃ ุงู„ุณุคุงู„
290
00:26:07,060 --> 00:26:09,140
ู…ู† ุงู„ุฃูˆู„ุŒ ุฃู†ุง ู…ุง ุจุฏูŠุด ุฃุถูŠุน ูˆู‚ุช ููŠ ู‚ุฑุงุกุฉ ุงู„ุณุคุงู„ ู„ุฃู†
291
00:26:09,140 --> 00:26:12,920
ุฃู†ุง ุจุณ ุจุงุฎุฏ ุงู„ู€ example ู†ุนุฑู ูƒูŠู ู†ุญู„
292
00:26:26,790 --> 00:26:29,410
ุฅุฐุง ู†ูุชุฑุถ ู‡ุงูŠ ุงู„ู€ exam ุงู„ู„ูŠ ุนู†ุฏูŠ ู…ูˆุฌูˆุฏุŒ ุญุฏ ูŠู‚ุฑุฃ
293
00:26:29,410 --> 00:26:36,530
ู„ูŠู‡ุŸ ุญุฏ ูŠู‚ุฑุฃ ู„ูŠู‡ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุŸ
294
00:26:36,530 --> 00:26:37,150
advertisement
295
00:26:47,340 --> 00:26:53,940
ุงู„ุฏุฑุงุณุฉ ุชู… ุชุฌุฑูŠุจู‡ุง ู„ูุชุชุนุงู…ู„ ู…ุน ุฅุฐุง ูƒุงู†ุช ูˆุงุถุญุฉ ุฃู†
296
00:26:53,940 --> 00:27:00,640
ุงู„ู…ุดุงู‡ุฏูŠู† ูˆุงู„ู…ุดุงู‡ุฏุงุช ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ูƒุงู†ูˆุง
297
00:27:00,640 --> 00:27:05,600
ู…ุญุฏูˆุฏูŠู†ุŒ ูˆูƒุงู†ุช ูƒู„ู‡ุง ู…ุฌู…ูˆุนุฉ ู…ู† 300 ู…ุดุงู‡ุฏ ูˆู…ุดุงู‡ุฏุงุช
298
00:27:05,600 --> 00:27:09,120
ูˆุงู„ู…ุดุงู‡ุฏูŠู†
299
00:27:09,120 --> 00:27:09,420
ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
300
00:27:09,420 --> 00:27:13,600
ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
301
00:27:13,600 --> 00:27:15,740
ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
302
00:27:15,740 --> 00:27:15,760
ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
303
00:27:15,760 --> 00:27:17,160
ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุจุงู„ู†ุณุจุฉ ู„ู„ุฅู†ุณุงู†
304
00:27:17,160 --> 00:27:24,440
ุงู„ุฎุงุต ุจูƒ ูˆู…ุง ุฅุฐุง ู„ู… ุชูƒู† ู…ุณุชุฎุฏู…ู‹ุง ู„ุฅูŠู‚ุงู ุงู„ูˆุตูˆู„ ุฅู„ู‰
305
00:27:24,440 --> 00:27:24,940
ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
306
00:27:24,940 --> 00:27:25,240
ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
307
00:27:25,240 --> 00:27:27,580
ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
308
00:27:27,580 --> 00:27:27,860
ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
309
00:27:27,860 --> 00:27:29,380
ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
310
00:27:29,380 --> 00:27:31,460
ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
311
00:27:31,460 --> 00:27:33,220
ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
312
00:27:33,220 --> 00:27:41,900
ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุต
313
00:27:45,380 --> 00:27:48,300
ูˆุจุญูƒูŠ how can we calculate the test statistic ูƒูŠู
314
00:27:48,300 --> 00:27:53,020
ุชุญุณุจ ุงู„ู€ test statistic ู‡ูˆ ุจูŠุญูƒูŠ ููŠ ุงู„ุณุคุงู„ ุฃู†ู‡ู…
315
00:27:53,020 --> 00:27:58,540
independent ูˆู„ุง ู„ุงุŒ ุฃู…ุง ุจูŠุญูƒูŠ ููŠ ุงู„ู€ H0 ุงู„ู€ two
316
00:27:58,540 --> 00:28:04,380
variables are
317
00:28:04,380 --> 00:28:08,960
independent ุฃูˆ
318
00:28:08,960 --> 00:28:14,000
ุจูŠุญูƒูŠ ุงู„ู€ proportions are the same ุฅุฐุง ููŠ ุนู†ุฏ ุงู„ู€ male
319
00:28:14,650 --> 00:28:18,170
while female either identify or couldn't identify
320
00:28:18,170 --> 00:28:29,850
ูุงู„ู€ B ุฏูŠ in general ุงูŠุด ุญุชุณุงูˆูŠุŸ X1 plus ุงูŠุด
321
00:28:29,850 --> 00:28:33,330
ุฑุฃูŠูƒู…ุŸ plus one ูˆู„ุง one oh nine ูˆู„ุง plus sixty
322
00:28:33,330 --> 00:28:44,510
oneุŸ ุงูŠุด ุฑุฃูŠูƒู…ุŸ ูŠุนู†ูŠ ุนู…ู„ู‡ุง plus sixty one ูุจุชุทู„ุน
323
00:28:44,510 --> 00:28:50,170
ุงู„ุณุคุงู„ ุงูŠุด ุญูƒู‰ุŸ The term whether brand awareness
324
00:28:50,170 --> 00:28:56,890
of female TV viewers and gender ูˆุจุชุดูˆู ุนู„ุงู‚ุชู‡ุง ุฏู‡
325
00:28:56,890 --> 00:29:05,970
ู…ุน ุจุนุถู‡ุง ูˆู‚ุงู„ุช 41 plus 109 ุนู„ู‰ N1 plus N2 ูˆุงููŠุด
326
00:29:05,970 --> 00:29:14,050
ู…ุฌู…ูˆุน ุงู„ู€ identifiers ู‡ู†ุง 102ุŒ ูˆุงู„ู„ูŠ ุชุญุช 192ุŒ ู…ุฌู…ูˆุนุฉ
327
00:29:14,050 --> 00:29:21,250
ู…ุง ุฌุฏุฏูˆุด 300 ู…ุด ู…ุง ุทู„ุนูˆุง ู‡ูŠูƒุŸ 150
328
00:29:21,250 --> 00:29:27,590
ุนู„ู‰ 300ุŒ ุนู„ู‰ ู†ุต ู‡ุฏูˆู„
329
00:29:27,590 --> 00:29:34,350
ุงู„ู€ observedุŒ ุงู„ู€ expected ู‡ู†ุง 102ุŒ ู†ุตู‡ู… identifier
330
00:29:34,350 --> 00:29:38,570
ู…ุธุจูˆุทุŸ ู…ู† ุงู„ู€ male ู†ุต ู‡ุฏูˆู„ ู…ุง ุฌุฏุฏูˆุด
331
00:29:41,780 --> 00:29:47,900
ุงู„ู†ุต ุงู„ู€ 102ุŒ ู…ุดูƒู„ุฉ ู…ู†ู‡ุง 50% ููŠ ุนุฏุฏ ุงู„ู€ identifier 102
332
00:29:47,900 --> 00:29:53,560
ูˆุทู„ุน 51ุŒ ูˆุงู„ู„ูŠ ู‡ู†ุง ุงูŠุด ุจูŠูƒูˆู† ุจุฑุถู‡ุŸ 51ุŒ ุทูŠุจ ุงู„ู„ูŠ
333
00:29:53,560 --> 00:30:01,640
ุจุนุฏู‡ุŸ ุงู„ู†ุต ุงู„ู€ 192ุŒ 96ุŒ
334
00:30:01,640 --> 00:30:09,780
ุงูŠุด ุจุชูˆู‚ุน ู„ู‡ู…ุŸ 96ุŒ ู‡ูŠ ุทู„ุนุช ู†ุตุŒ ูุงู„ู†ุต ุณู‡ู„ุฉ ุทูŠุจ
335
00:30:09,780 --> 00:30:21,470
ุงุญุณุจ ุงู„ู€ chi-square ุงู„ู€ statistic ู…ุงุฐุง ุณุชุญุตู„ุŸ 41 - 51ยฒ ุนู„ู‰ 51
336
00:30:21,470 --> 00:30:29,490
plus 61 - 51ยฒ ุจูƒู…ู„ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
337
00:30:46,200 --> 00:30:50,720
ู…ุฌู…ูˆุน ู…ูŠู† ุงู„ู„ูŠ ุบู„ุทุŸ
338
00:30:50,720 --> 00:30:57,120
ุงู‡ ู‡ุฏูˆู„ ุฃู†ุง
339
00:30:57,120 --> 00:31:02,480
ู„ุง ุฃุฎุจุท ููŠ ู‡ุฏูˆู„ ุตุญุŸ ู‡ุฏูˆู„ ู„ู‚ูŠุช ู…ุฌู…ูˆุนู‡ู… 108ุŒ ู†ูุณู‹ุง ุฃู†ุง
340
00:31:02,480 --> 00:31:12,470
ุฃุตู„ู‹ุง 108 ู†ูุณู‹ุงุŒ ู†ูุณู‡ ู…ุง ุฌุฏุฏูˆุด 99ุŒ ุฅุฐุง
341
00:31:12,470 --> 00:31:19,230
ุจูŠุตูŠุฑ 109 - 99ุŒ 89
342
00:31:19,230 --> 00:31:27,770
- 99ุŒ ุชุนู…ู„
343
00:31:27,770 --> 00:31:33,540
ุงูŠู‡ ู„ูƒู„ cellุŒ ู‡ูˆ ุจูŠุทู„ุน ุงู„ุฌูˆุงุจุŒ ุงูŠุด ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ
344
00:31:33,540 --> 00:31:39,000
ู…ูˆุฌูˆุฏุŸ ุจุชุญุณุจูŠู‡ุง ููŠ ุงู„ุจูŠุช ุจุฑุงุญุชูƒุŒ ุทุงู„ุน ุงู„ุฌูˆุงุจุŒ ุณุคุงู„
345
00:31:39,000 --> 00:31:44,380
11ุŒ 9ุŒ ุฑู‚ู… 2ุŒ ุงูŠู‡ุŸ
346
00:31:44,380 --> 00:31:52,660
ุงุชุฃูƒุฏ ุฃู† ุงู„ุฌูˆุงุจ ุงูŠู‡ุŸ ุฅุฐุง ู…ุฑุฉ ุซุงู†ูŠุฉ ุจุญุณุจ ุงู„ู€ B'ุŒ 41
347
00:31:52,660 --> 00:32:02,540
plus 109 divide by 300ุŒ ุจูŠุทู„ุน 150 ุนู„ู‰ 300ุŒ ุจูŠุทู„ุน ู†ุตุŒ ุงู„ู†ุต
348
00:32:02,540 --> 00:32:08,020
ู‡ุฐู‡ ุจุถุฑุจู‡ุง ููŠ 102ุŒ ุจูŠุทู„ุน 51ุŒ ูˆู‡ู†ุง ุจูŠุทู„ุน 99ุŒ ุจุนุฏูŠู† ุนู…ู„ุช
349
00:32:08,020 --> 00:32:13,360
ู„ูƒู„ cell ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ูŠุŒ ุงู„ุณุคุงู„ 11ุŒ 9 ุงู„ุชุงุจุน ุงู„ุจุนุฏูŠ ู‡ูˆ
350
00:32:13,360 --> 00:32:19,120
11ุŒ 11 ู„ุญุธุฉุŒ ู‡ุฐุง three by three ู…ุธุจูˆุทุŸ ู‡ุฐุง three rows
351
00:32:19,120 --> 00:32:24,900
ูˆthree columnsุŒ ู‡ุฐุง ู„ู„ู‚ุงุก ุงู„ุฌุงูŠุŒ ู‡ุฐุง
352
00:32:24,900 --> 00:32:29,480
ู„ู„ู„ู‚ุงุก ุงู„ุฌุงูŠุŒ ุทุงู„ุน ุงู„ุชุงุจุน ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ุงูŠุด ู†ุณู…ูŠู‡ุŸ
353
00:32:29,480 --> 00:32:33,240
ุจุฑุถู‡ three by threeุŒ ู…ุด ู‡ูŠูƒุŸ three rows, three
354
00:32:33,240 --> 00:32:39,860
columns ู„ู„ู‚ุงุก ุงู„ู‚ุงุฏู… ุจูŠู…ูƒู†ูƒ
355
00:32:39,860 --> 00:32:46,260
ููŠ ุงู„ุจูŠุช ุชุญู„ 11 ุชุณุนุฉุŒ ุงู†ุช ูƒู…ู„ู‡ุŒ ูุจุญูƒูŠ at five
356
00:32:46,260 --> 00:32:48,780
percent level of significance ุงูŠุด ุงู„ู€ critical
357
00:32:48,780 --> 00:32:57,090
valueุŸ ุงู„ู„ูŠ ุชูˆุญู„ู†ุงู‡ุง ู…ุธุจูˆุทุŸ ุงู„ู€ degrees of freedom
358
00:32:57,090 --> 00:33:03,490
ูˆุงุญุฏุŒ ุทุจ ูŠุนู†ูŠ ุงู„ู€ value ุทู„ุนุช ุญูƒูŠู†ุง five point
359
00:33:03,490 --> 00:33:11,610
something ู…ุด ู‡ูŠูƒุŸ ุญูƒูŠู†ุง ุงู„ุฌูˆุงุจ 5.94
360
00:33:11,610 --> 00:33:20,110
18ุŒ ุฅุฐุง
361
00:33:20,110 --> 00:33:24,150
ุงู†ุช 3.84ุŒ ูˆุจุณุชุฎุฏู… ุงู„ุณุคุงู„ ุงู„ู„ูŠ
362
00:33:24,150 --> 00:33:24,550
ุจุนุฏู‡
363
00:33:29,390 --> 00:33:33,910
ูŠุฌุจ ุฃู† ุชูƒูˆู†ูŠ ู…ุชุฃูƒุฏุฉ ุฃู† ุงู„ุชุทุจูŠู‚ุงุช ุงู„ู…ุชูˆู‚ุนุฉ ุชูƒูˆู†
364
00:33:33,910 --> 00:33:39,090
ุตุบูŠุฑุฉ ุฌุฏู‹ุงุŒ ูˆูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฌู‡ ุฅู„ู‰ ุทูŠุจ ูƒุจูŠุฑุŒ ุทูŠุจ 1R
365
00:33:39,090 --> 00:33:49,910
ู…ุงุฐุง ุชุฑู‰ุŸ ู‡ู„ ุจุญูƒูŠ reject ูˆู„ุง ู„ุงุŸ
366
00:33:49,910 --> 00:33:52,950
ุงู„ุณุคุงู„
367
00:33:52,950 --> 00:33:53,290
ุงู„ุฐูŠ ุจุนุฏู‡
368
00:33:59,870 --> 00:34:02,510
ุนู†ุฏ ุงุณุชุฎุฏุงู… ุงู„ู€ chi-square test ู„ุฅุฎุชุจุงุฑ ุงู„ุฅู†ุชู‚ุงู„ ูŠุฌุจ
369
00:34:02,510 --> 00:34:05,510
ุฃู† ุชูƒูˆู† ุนู„ู‰ ุฏุฑุงูŠุฉ ุฃู† ุชุฌุงุฑุจ ุงู„ุชูุงุตูŠู„ ุงู„ุชูŠ ูƒุงู†ุช ุฃูƒุซุฑ
370
00:34:05,510 --> 00:34:12,190
ุตุบูŠุฑุฉ ุณุชุชุณุจุจ ููŠ ุฃุฎุทุงุก ูƒุจูŠุฑุฉ ู„ู€ Type IุŒ ู„ู…ุง ุงู„ูุฑูˆู‚ุงุช
371
00:34:12,190 --> 00:34:16,110
ุชูƒูˆู† ุตุบูŠุฑุฉ ุชุทู„ุน
372
00:34:16,110 --> 00:34:21,310
ุงู„ู€ chi-square ุตุบูŠุฑุฉ ูˆู„ุง ูƒุจูŠุฑุฉุŸ ู„ู…ุง ุงู„ูุฑู‚ ุจูŠู†
373
00:34:21,310 --> 00:34:27,270
ุงู„ู€ observed ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠูƒูˆู† ุตุบูŠุฑุŒ ุตุบูŠุฑ ุชุทู„ุน
374
00:34:27,270 --> 00:34:35,560
ุงู„ู€ chi-square ู…ุงู„ู‡ุงุŸ ุงู„ู€ smallุŒ ู…ุด ู‡ูŠูƒุŸ ุชุจู‚ู‰ ุจุชูƒูˆู† Kยฒ
375
00:34:35,560 --> 00:34:40,000
ุตุบูŠุฑุฉุŒ ุงู„ู€ P value ุจุชูƒุจุฑ ูˆู„ุง ุจุชุตุบุฑุŸ ุงู„ู€ probability
376
00:34:40,000 --> 00:34:45,060
ุงู„ู„ูŠ
377
00:34:45,060 --> 00:34:48,360
ุฃู†ุง ุฃูุชุฑุถ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ุŒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ู€ P value ู„ู„ู€ test
378
00:34:48,360 --> 00:34:53,200
ุงู„ู„ูŠ ุนู†ุฏูŠุŒ ูƒูŠู ุฃุญุณุจ ุงู„ู€ P valueุŸ
379
00:34:53,200 --> 00:34:58,600
ู‡ุงูŠ ุงู„ู€ P value ุจุชุณุงูˆูŠุŒ Kยฒ ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
380
00:35:02,400 --> 00:35:06,060
ู…ุธุจูˆุทุŸ ุงู‡ ุจุงู„ุธุจุท ูƒู„ ู…ุง ุจุชูƒุจุฑ ุจุชู‚ู„ ุงู„ู€ level ู„ู…ุง
381
00:35:06,060 --> 00:35:11,960
ุจุฏุฎู„ ู„ุฌูˆู‡ุŒ ู…ุด ู‡ูŠูƒุŸ ุชุทู„ุน ุนู„ู‰ ุงู„ู€ table ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡
382
00:35:11,960 --> 00:35:18,900
ุชูˆู‡ุŒ ุจูŠู‡
383
00:35:18,900 --> 00:35:26,700
ุฃูƒุจุฑ ู…ู† 5.9ุŒ ุงู…ุดูŠ ุนู„ู‰ 5.9ุŒ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุชู‚ุฑูŠุจู‹ุง ู…ูˆุฌูˆุฏุฉ
384
00:35:26,700 --> 00:35:31,620
ุจูŠู† ุฅุซู†ุชูŠู† ู‡ุฐูˆู„ุŒ ู…ุด ู‡ูŠูƒุŸ 5.9 ู…ู‚ุงู„ ุจูŠู† ู‡ุฐูŠู† ุงู„ุนู…ูˆุฏูŠู†
385
00:35:31,620 --> 00:35:36,660
ุจุธุจุทุŒ ุจู†ุทู„ุน ุงู„ู€ P value ุฒูŠ ู…ุง ูƒู†ุง ู†ุทู„ุน ููŠ ุญุงู„ุฉ ุงู„ู€ T
386
00:35:36,660 --> 00:35:40,920
ูุจุงู„ุชุงู„ูŠ ุงู„ู€ P value ู…ุญุตูˆุฑุฉ ุจูŠู† ู…ูŠู† ูˆู…ูŠู†ุŸ ุจูŠู† ูˆุงุญุฏ ูˆ
387
00:35:40,920 --> 00:35:47,640
ุงุซู†ูŠู†ุŒ ูุชุทู„ุน ุงู„ู€ P value ุจูŠู† 1 ูˆ 2% ุทูŠุจ ุงู„ู€ P value
388
00:35:47,640 --> 00:35:51,