{"id":25501,"date":"2023-12-07T01:34:55","date_gmt":"2023-12-07T01:34:55","guid":{"rendered":"https:\/\/masterskills.org\/blog\/gia-thuyet-khong-null-hypothesis-la-gi-vi-du-ve-gia-thuyet-khong.html"},"modified":"2023-12-22T10:33:23","modified_gmt":"2023-12-22T03:33:23","slug":"gia-thuyet-khong-null-hypothesis-la-gi-vi-du-ve-gia-thuyet-khong","status":"publish","type":"post","link":"https:\/\/masterskills.org\/blog\/gia-thuyet-khong-null-hypothesis-la-gi-vi-du-ve-gia-thuyet-khong.html","title":{"rendered":"Gi\u1ea3 thuy\u1ebft kh\u00f4ng (Null Hypothesis) l\u00e0 g\u00ec? V\u00ed d\u1ee5 v\u1ec1 gi\u1ea3 thuy\u1ebft kh\u00f4ng"},"content":{"rendered":"
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H\u00ecnh minh h\u1ecda. Ngu\u1ed3n: ThoughtCo.<\/p>\n<\/div>\n<\/div>\n

Gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/font><\/h2>\n

Kha\u0301i ni\u00ea\u0323m<\/b><\/p>\n

Gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b>\u00a0trong ti\u00ea\u0301ng Anh la\u0300 Null Hypothesis<\/b>.<\/p>\n

Gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b> l\u00e0 m\u1ed9t lo\u1ea1i gi\u1ea3 thuy\u1ebft \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong th\u1ed1ng k\u00ea gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng kh\u00f4ng c\u00f3 \u00fd ngh\u0129a th\u1ed1ng k\u00ea n\u00e0o t\u1ed3n t\u1ea1i trong m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c quan s\u00e1t nh\u1ea5t \u0111\u1ecbnh. Gi\u1ea3 thuy\u1ebft kh\u00f4ng \u0111\u01b0\u1ee3c cho l\u00e0 \u0111\u00fang cho \u0111\u1ebfn khi c\u00f3 b\u1eb1ng ch\u1ee9ng th\u1ed1ng k\u00ea b\u00e1c b\u1ecf n\u00f3 v\u1edbi m\u1ed9t gi\u1ea3 thuy\u1ebft thay th\u1ebf kh\u00e1c.<\/p>\n

V\u00ed d\u1ee5 m\u1ed9t ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft ki\u1ec3m tra th\u1eddi gian trung b\u00ecnh \u0111\u1ec3 n\u1ea5u m\u1ed9t nh\u00e3n hi\u1ec7u m\u00ec A l\u00e0 12 ph\u00fat sao cho gi\u1ea3 thuy\u1ebft thay th\u1ebf gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng tham s\u1ed1 t\u1ed5ng th\u1ec3 kh\u00f4ng b\u1eb1ng v\u1edbi gi\u00e1 tr\u1ecb \u0111\u00e3 \u0111\u01b0a ra \u0111\u1ec3 ki\u1ec3m \u0111\u1ecbnh, t\u1ee9c l\u00e0 12 ph\u00fat. Do \u0111\u00f3, th\u1eddi gian n\u1ea5u cho gi\u00e1 tr\u1ecb trung b\u00ecnh t\u1ed5ng th\u1ec3 kh\u00f4ng b\u1eb1ng 12 ph\u00fat m\u00e0 n\u00f3 c\u00f3 th\u1ec3 nh\u1ecf h\u01a1n ho\u1eb7c l\u1edbn h\u01a1n gi\u00e1 tr\u1ecb \u0111\u00e3 n\u00eau.<\/p>\n

N\u1ebfu gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b> \u0111\u01b0\u1ee3c ch\u1ea5p nh\u1eadn ho\u1eb7c ki\u1ec3m \u0111\u1ecbnh th\u1ed1ng k\u00ea ch\u1ec9 ra r\u1eb1ng gi\u00e1 tr\u1ecb trung b\u00ecnh t\u1ed5ng th\u1ec3 l\u00e0 12 ph\u00fat, th\u00ec gi\u1ea3 thuy\u1ebft thay th\u1ebf b\u1ecb b\u00e1c b\u1ecf v\u00e0 ng\u01b0\u1ee3c l\u1ea1i.<\/p>\n

C\u00e1ch th\u1ee9c ho\u1ea1t \u0111\u1ed9ng c\u1ee7a gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/font><\/h3>\n

Gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b> gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng b\u1ea5t k\u00ec s\u1ef1 kh\u00e1c bi\u1ec7t hay \u00fd ngh\u0129a n\u00e0o b\u1ea1n quan s\u00e1t \u0111\u01b0\u1ee3c trong m\u1ed9t t\u1eadp h\u1ee3p d\u1eef li\u1ec7u l\u00e0 do s\u1ef1 ng\u1eabu nhi\u00ean. \u0110\u1ed1i l\u1eadp v\u1edbi gi\u1ea3 thuy\u1ebft kh\u00f4ng l\u00e0 gi\u1ea3 thuy\u1ebft thay th\u1ebf.<\/p>\n

Gi\u1ea3 thuy\u1ebft kh\u00f4ng l\u00e0 tuy\u00ean b\u1ed1 th\u1ed1ng k\u00ea ban \u0111\u1ea7u cho r\u1eb1ng gi\u00e1 tr\u1ecb trung b\u00ecnh t\u1ed5ng th\u1ec3 t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi gi\u00e1 tr\u1ecb \u0111\u01b0\u1ee3c \u0111\u01b0a tra ban \u0111\u1ea7u. Nh\u01b0 v\u00ed d\u1ee5 tr\u00ean, th\u1eddi gian trung b\u00ecnh \u0111\u1ec3 n\u1ea5u m\u1ed9t nh\u00e3n hi\u1ec7u m\u00ec t\u00f4m c\u1ee5 th\u1ec3 l\u00e0 12 ph\u00fat. Gi\u1ea3 thuy\u1ebft kh\u00f4ng s\u1ebd \u0111\u01b0\u1ee3c \u0111\u1eb7t l\u00e0 “Th\u1eddi gian trung b\u00ecnh \u0111\u1ec3 n\u1ea5u m\u00ec A b\u1eb1ng 12 ph\u00fat<\/i>“. Ng\u01b0\u1ee3c l\u1ea1i, gi\u1ea3 thuy\u1ebft thay th\u1ebf l\u00e0 “Th\u1eddi gian trung b\u00ecnh \u0111\u1ec3 n\u1ea5u m\u00ec A kh\u00e1c 12 ph\u00fat<\/i>” hay khi gi\u1ea3 thuy\u1ebft kh\u00f4ng b\u1ecb b\u00e1c b\u1ecf.<\/p>\n

Ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft <\/b>cho ph\u00e9p m\u1ed9t m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc ch\u1ea5p nh\u1eadn ho\u1eb7c b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u1edbi m\u1ed9t \u0111\u1ed9 tin c\u1eady nh\u1ea5t \u0111\u1ecbnh. C\u00e1c gi\u1ea3 thuy\u1ebft th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c ki\u1ec3m \u0111\u1ecbnh b\u1eb1ng qui tr\u00ecnh b\u1ed1n b\u01b0\u1edbc. <\/p>\n

B\u01b0\u1edbc \u0111\u1ea7u ti\u00ean, nh\u00e0 ph\u00e2n t\u00edch n\u00eau ra hai gi\u1ea3 thuy\u1ebft trong \u0111\u00f3 ch\u1ec9 c\u00f3 m\u1ed9t l\u00e0 \u0111\u00fang. B\u01b0\u1edbc ti\u1ebfp theo l\u00e0 x\u00e2y d\u1ef1ng k\u1ebf ho\u1ea1ch ph\u00e2n t\u00edch \u0111\u1ec3 ph\u00e1c th\u1ea3o c\u00e1ch d\u1eef li\u1ec7u s\u1ebd \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1. B\u01b0\u1edbc th\u1ee9 ba l\u00e0 th\u1ef1c hi\u1ec7n ph\u00e2n t\u00edch d\u1eef li\u1ec7u c\u1ee7a m\u1eabu. B\u01b0\u1edbc cu\u1ed1i c\u00f9ng l\u00e0 ph\u00e2n t\u00edch k\u1ebft qu\u1ea3, \u0111\u01b0a ra k\u1ebft lu\u1eadn ch\u1ea5p nh\u1eadn ho\u1eb7c t\u1eeb ch\u1ed1i gi\u1ea3 thuy\u1ebft kh\u00f4ng.<\/p>\n

V\u00ed d\u1ee5 v\u1ec1 gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/font><\/h3>\n

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t v\u00ed d\u1ee5 \u0111\u01a1n gi\u1ea3n v\u1ec1 gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b>: <\/p>\n

Hi\u1ec7u tr\u01b0\u1edfng c\u1ee7a tr\u01b0\u1eddng THPT B b\u00e1o c\u00e1o r\u1eb1ng h\u1ecdc sinh l\u1edbp 12 trong tr\u01b0\u1eddng \u0111\u1ea1t \u0111i\u1ec3m trung b\u00ecnh 7\/10 trong k\u00ec thi t\u1ed1t nghi\u1ec7p. \u0110\u1ec3 ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft n\u00e0y, ch\u00fang ta ch\u1ecdn m\u1ed9t m\u1eabu l\u00e0 \u0111i\u1ec3m c\u1ee7a 30 h\u1ecdc sinh trong to\u00e0n b\u1ed9 300 h\u1ecdc sinh l\u1edbp 12 c\u1ee7a tr\u01b0\u1eddng v\u00e0 t\u00ednh gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a m\u1eabu \u0111\u00f3. Sau \u0111\u00f3, ch\u00fang ta c\u00f3 th\u1ec3 so s\u00e1nh trung b\u00ecnh m\u1eabu (\u0111\u00e3 t\u00ednh to\u00e1n) v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh t\u1ed5ng th\u1ec3 (\u0111\u01b0\u1ee3c hi\u1ec7u tr\u01b0\u1edfng b\u00e1o c\u00e1o) v\u00e0 x\u00e1c nh\u1eadn gi\u1ea3 thuy\u1ebft.<\/p>\n

L\u1ea5y m\u1ed9t v\u00ed d\u1ee5 kh\u00e1c, l\u1ee3i nhu\u1eadn h\u00e0ng n\u0103m c\u1ee7a m\u1ed9t qu\u0129 t\u01b0\u01a1ng h\u1ed7 Q l\u00e0 8%. Gi\u1ea3 s\u1eed r\u1eb1ng qu\u0129 t\u01b0\u01a1ng h\u1ed7 Q \u0111\u00e3 t\u1ed3n t\u1ea1i \u0111\u01b0\u1ee3c 20 n\u0103m. Ch\u00fang ta l\u1ea5y m\u1ed9t m\u1eabu ng\u1eabu nhi\u00ean l\u1ee3i nhu\u1eadn h\u00e0ng n\u0103m c\u1ee7a qu\u0129 t\u01b0\u01a1ng h\u1ed7, gi\u1ea3 s\u1eed m\u1eabu l\u00e0 n\u0103m n\u0103m v\u00e0 t\u00ednh gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a n\u00f3. Sau \u0111\u00f3, ch\u00fang ta so s\u00e1nh gi\u00e1 tr\u1ecb trung b\u00ecnh m\u1eabu (\u0111\u01b0\u1ee3c t\u00ednh) v\u1edbi t\u1ed5ng th\u1ec3 (\u0111\u01b0\u1ee3c b\u00e1o c\u00e1o b\u1edfi qu\u0129) \u0111\u1ec3 x\u00e1c minh gi\u1ea3 thuy\u1ebft.<\/p>\n

Th\u00f4ng th\u01b0\u1eddng, gi\u00e1 tr\u1ecb \u0111\u01b0\u1ee3c b\u00e1o c\u00e1o (ho\u1eb7c th\u1ed1ng k\u00ea b\u00e1o c\u00e1o) \u0111\u01b0\u1ee3c coi l\u00e0 gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 \u0111\u01b0\u1ee3c cho l\u00e0 \u0111\u00fang. \u0110\u1ed1i v\u1edbi c\u00e1c v\u00ed d\u1ee5 tr\u00ean, gi\u1ea3 thuy\u1ebft s\u1ebd l\u00e0:<\/p>\n

V\u00ed d\u1ee5 1: H\u1ecdc sinh l\u1edbp 12 c\u1ee7a tr\u01b0\u1eddng B \u0111\u1ea1t \u0111i\u1ec3m trung b\u00ecnh 7\/10 trong k\u00ec thi t\u1ed1t nghi\u1ec7p.<\/p>\n

V\u00ed d\u1ee5 2: L\u1ee3i nhu\u1eadn h\u00e0ng n\u0103m c\u1ee7a qu\u0129 t\u01b0\u01a1ng h\u1ed7 l\u00e0 8% m\u1ed7i n\u0103m.<\/p>\n

Hai c\u00e2u \u0111\u01b0\u1ee3c n\u00eau tr\u00ean c\u1ea5u th\u00e0nh gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b> (H0<\/sub>) cho c\u1ea3 hai v\u00ed d\u1ee5 v\u00e0 \u0111\u01b0\u1ee3c cho l\u00e0 \u0111\u00fang \u2013 nh\u01b0 c\u00e1ch m\u1ed9t b\u1ecb c\u00e1o trong phi\u00ean t\u00f2a x\u00e9t x\u1eed \u0111\u01b0\u1ee3c cho l\u00e0 v\u00f4 t\u1ed9i cho \u0111\u1ebfn khi \u0111\u01b0\u1ee3c ch\u1ee9ng minh l\u00e0 c\u00f3 t\u1ed9i v\u1edbi c\u00e1c b\u1eb1ng ch\u1ee9ng \u0111\u01b0\u1ee3c \u0111\u01b0a ra tr\u01b0\u1edbc t\u00f2a. T\u01b0\u01a1ng t\u1ef1, ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft b\u1eaft \u0111\u1ea7u b\u1eb1ng c\u00e1ch n\u00eau v\u00e0 gi\u1ea3 \u0111\u1ecbnh m\u1ed9t gi\u1ea3 thuy\u1ebft kh\u00f4ng \u0111\u00fang, sau \u0111\u00f3 th\u1ef1c hi\u1ec7n c\u00e1c t\u00ednh to\u00e1n \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh li\u1ec7u gi\u1ea3 \u0111\u1ecbnh \u0111\u00f3 c\u00f3 kh\u1ea3 n\u0103ng \u0111\u00fang hay sai.<\/p>\n

\u0110i\u1ec3m quan tr\u1ecdng c\u1ea7n l\u01b0u \u00fd l\u00e0 ch\u00fang ta ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00ec c\u00f3 c\u00e1c y\u1ebfu t\u1ed1 khi\u1ebfn ta nghi ng\u1edd v\u1ec1 t\u00ednh h\u1ee3p l\u1ec7 c\u1ee7a n\u00f3. B\u1ea5t c\u1ee9 th\u00f4ng tin n\u00e0o ch\u1ed1ng l\u1ea1i gi\u1ea3 thuy\u1ebft kh\u00f4ng ph\u1ea3i \u0111\u01b0\u1ee3c n\u00eau trong gi\u1ea3 thuy\u1ebft thay th\u1ebf<\/b> (H1<\/sub>). <\/p>\n

\u0110\u1ed1i v\u1edbi c\u00e1c v\u00ed d\u1ee5 tr\u00ean, gi\u1ea3 thuy\u1ebft thay th\u1ebf s\u1ebd l\u00e0:<\/p>\n

H\u1ecdc sinh l\u1edbp 12 c\u1ee7a tr\u01b0\u1eddng A c\u00f3 \u0111i\u1ec3m trung b\u00ecnh kh\u00e1c 7.<\/p>\n

L\u1ee3i nhu\u1eadn h\u00e0ng n\u0103m c\u1ee7a qu\u0129 t\u01b0\u01a1ng h\u1ed7 kh\u00e1c\u00a08%.<\/p>\n

Ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft trong \u0111\u1ea7u t\u01b0<\/font><\/h3>\n

L\u1ea5y m\u1ed9t v\u00ed d\u1ee5 li\u00ean quan \u0111\u1ebfn th\u1ecb tr\u01b0\u1eddng t\u00e0i ch\u00ednh, gi\u1ea3 s\u1eed Alice th\u1ea5y r\u1eb1ng chi\u1ebfn l\u01b0\u1ee3c \u0111\u1ea7u t\u01b0 c\u1ee7a m\u00ecnh t\u1ea1o ra l\u1ee3i nhu\u1eadn trung b\u00ecnh cao h\u01a1n so v\u1edbi vi\u1ec7c mua v\u00e0 n\u1eafm gi\u1eef m\u1ed9t c\u1ed5 phi\u1ebfu. <\/p>\n

Gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b> cho r\u1eb1ng kh\u00f4ng c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa hai t\u1ec9 su\u1ea5t l\u1ee3i nhu\u1eadn trung b\u00ecnh v\u00e0 Alice ph\u1ea3i ch\u1ea5p nh\u1eadn \u0111i\u1ec1u n\u00e0y cho \u0111\u1ebfn khi c\u00f4 ch\u1ee9ng minh n\u00f3 sai. V\u00e0 gi\u1ea3 thuy\u1ebft thay th\u1ebf ph\u1ea3i n\u00eau r\u00f5 r\u1eb1ng chi\u1ebfn l\u01b0\u1ee3c \u0111\u1ea7u t\u01b0 c\u00f3 l\u1ee3i nhu\u1eadn trung b\u00ecnh cao h\u01a1n so v\u1edbi chi\u1ebfn l\u01b0\u1ee3c mua v\u00e0 n\u1eafm gi\u1eef truy\u1ec1n th\u1ed1ng.\u00a0\u0110\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng y\u00eau c\u1ea7u k\u1ebft lu\u1eadn ph\u1ea3i c\u00f3 \u00fd ngh\u0129a th\u1ed1ng k\u00ea.\u00a0<\/p>\n

N\u1ebfu Alice ti\u1ebfn h\u00e0nh ki\u1ec3m \u0111\u1ecbnh s\u1eed d\u1ee5ng m\u00f4 h\u00ecnh chu\u1ea9n v\u00e0 ch\u1ee9ng minh r\u1eb1ng s\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa l\u1ee3i nhu\u1eadn n\u1ebfu \u0111\u1ea7u t\u01b0 theo chi\u1ebfn l\u01b0\u1ee3c c\u1ee7a c\u00f4 \u1ea5y v\u1edbi l\u1ee3i nhu\u1eadn n\u1ebfu mua v\u00e0 gi\u1eef m\u1ed9t c\u1ed5 phi\u1ebfu truy\u1ec1n th\u1ed1ng l\u00e0 \u0111\u00e1ng k\u1ec3, hay gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ho\u1eb7c b\u1eb1ng 0.05, c\u00f4 \u1ea5y c\u00f3 th\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 ch\u1ea5p nh\u1eadn gi\u1ea3 thuy\u1ebft thay th\u1ebf.<\/p>\n

C\u00e1c \u00fd ch\u00ednh<\/font><\/h3>\n

– Gi\u1ea3 thuy\u1ebft kh\u00f4ng<\/b> l\u00e0 m\u1ed9t lo\u1ea1i ph\u1ecfng \u0111o\u00e1n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong th\u1ed1ng k\u00ea cho r\u1eb1ng kh\u00f4ng c\u00f3 \u00fd ngh\u0129a th\u1ed1ng k\u00ea t\u1ed3n t\u1ea1i trong t\u1eadp h\u1ee3p c\u00e1c quan s\u00e1t nh\u1ea5t \u0111\u1ecbnh.<\/p>\n

– Gi\u1ea3 thuy\u1ebft kh\u00f4ng ch\u1ec9 ra r\u1eb1ng kh\u00f4ng c\u00f3 bi\u1ebfn th\u1ec3 n\u00e0o t\u1ed3n t\u1ea1i gi\u1eefa c\u00e1c bi\u1ebfn hay m\u1ed9t bi\u1ebfn \u0111\u01a1n l\u1ebb kh\u00f4ng c\u00f3 kh\u00e1c bi\u1ec7t g\u00ec so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a n\u00f3.<\/p>\n

– \u0110\u1ed1i ngh\u1ecbch v\u1edbi gi\u1ea3 thuy\u1ebft kh\u00f4ng l\u00e0 gi\u1ea3 thuy\u1ebft thay th\u1ebf.<\/p>\n

– Ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft cho ph\u00e9p m\u1ed9t m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc ch\u1ea5p nh\u1eadn ho\u1eb7c b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u1edbi m\u1ed9t \u0111\u1ed9 tin c\u1eady nh\u1ea5t \u0111\u1ecbnh.<\/p>\n

(Theo Investopedia<\/i>)<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"

\n Gi\u1ea3 thuy\u1ebft kh\u00f4ng (ti\u1ebfng Anh: Null Hypothesis) l\u00e0 m\u1ed9t lo\u1ea1i gi\u1ea3 thuy\u1ebft \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong th\u1ed1ng k\u00ea gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng kh\u00f4ng c\u00f3 \u00fd ngh\u0129a th\u1ed1ng k\u00ea n\u00e0o t\u1ed3n t\u1ea1i trong m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c quan s\u00e1t nh\u1ea5t \u0111\u1ecbnh.\n <\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[414],"tags":[],"_links":{"self":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/25501"}],"collection":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/comments?post=25501"}],"version-history":[{"count":0,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/25501\/revisions"}],"wp:attachment":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/media?parent=25501"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/categories?post=25501"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/tags?post=25501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}