重復測量設計資料的方差分析重復測量資料的數(shù)據(jù)特征重復測量數(shù)據(jù)的統(tǒng)計分析第一節(jié)重復測量資料的數(shù)據(jù)特征前后測量設計r①②

=0.963,

r①③

=-0.602,

r②③

=-0.794配對設計兩種方法對乳酸飲料中脂肪含量的測定結(jié)果(%)表3-5(1)哥特里－(2)脂肪酸水解法(3)差值

d(4)=(2)(3)10.8400.5800.26020.5910.5090.08230.6740.5000.17440.6320.3160.31650.6870.3370.35060.9780.5170.46170.7500.4540.29680.7300.5120.21891.2000.9970.203100.8700.5060.3642.724r②④

=0.280,P=0.434;r③④

=-0.307,

P=0.434;r②③

=0.828,P=0.003前后測量設計與配對設計的區(qū)別前后測量設計：不同期觀察試驗結(jié)果，前后處理非隨機分配。推論處理是否有效是有條件的，即假定測量時間對觀察結(jié)果沒有影響。前后兩次觀察結(jié)果通常與差值不獨立（存在相關）。配對設計：同對兩實驗單位可以隨機分配處理，兩個實驗單位可同期觀察試驗結(jié)果同對兩實驗單位觀察結(jié)果分別與差值相互獨立。重復測量設計當前后測量設計的重復測量次數(shù)≥3時，稱重復測量設計或重復測量數(shù)據(jù)。表

12-3

受試者血糖濃度（mmol/L）0放置時間（分）45

9013515.325.324.984.6525.325.264.934.7035.945.885.435.0445.495.435.325.0455.715.495.434.9366.276.275.665.2675.885.775.434.9385.325.155.044.48隨機區(qū)組設計資料的方差分析ΣjΧ2jj重復測量設計與隨機區(qū)組設計的區(qū)別重復測量設計區(qū)組內(nèi)實驗單元安排不隨機、觀察結(jié)果彼此不獨立。重復測量數(shù)據(jù)欲用隨機區(qū)組方差分析比較處理組間差異，前提條件是重復測量誤差的協(xié)方差矩陣要滿足“球?qū)ΨQ”（sphericity)。重復測量數(shù)據(jù)“球?qū)ΨQ”檢驗Mauchly's

Test

of

SphericityMauchly's

Test

ofSphericity(b)Measure:

MEASURE_1Epsilon(a)WithinSubjectsEffectMauchly'sWApprox.Chi-SquaredfSig.Greenhouse-GeisserHuynh-FeldtLower-boundFACTOR1.06315.8445.008.528.657.333不滿足“球?qū)ΨQ”，可采用對F界值進行校正：“球?qū)ΨQ”系數(shù)（0.528）×

F界值的

度（v1=3,

v2=21）=

F(1.58,

11.09)H0：服從球?qū)ΨQH1：

從~α=0.10第二節(jié)重復測量數(shù)據(jù)統(tǒng)計分析例12-3

將手術要求基本相同的15名患者隨機分3組，在手術過程中分別采用A，B，C三種麻醉誘導方法，在T0

(誘導前)、T1

、T2

、T3

、T4

測量患者的收縮壓，數(shù)據(jù)記錄見表12-17。試進行方差分析。CCCCCSS組間(SS組內(nèi)(間)=SS干預+SS組間誤差內(nèi))=SS時間+SS交互作用+SS組內(nèi)誤差CCC131415時相合計SS組間(間)=(5772+…)/5-C)/25-C)/15-CSS干預=(29922SS時間=(18422+…Mauchly's

Test

of

SphericitybMeasure:

MEASURE

1.250Within

Subjects

Ef

fect

Mauchly's

WApprox.Chi-Square

df

Sig.Greenhouse-Geisser

Huynh-FeldtLow

er-boundEpsilon

a重復

.293

12.785

9

.178

.679

1.000Tests

the

null

hypothesis

that

the

error

covariance

matrix

of

the

orthonormalized

transf

ormed

dependent

variables

isproportional

to

an

identity

matrix.a.

May

be

used

to

adjust

the

degrees

of

f

reedom

f

or

the

averaged

tests

of

significance.

Corrected

tests

are

displayed

inthe

Tests

of

Within-Subjects

Ef

f

ects

table.b.Design:

+groupWithin

Subjects

Design:重復

H0：服從球?qū)ΨQH1：

從~α=0.10接受H0，服從球?qū)ΨQTests

of

Within-Subjects

EffectsMeasure:

MEASURE

1SourceType

II

Sumof

SquaresdfMean

SquareFSig.重復

Sphericity

Assumed2336.4534584.113106.558.000Greenhouse-Geisser2336.4532.715860.644106.558.000Huynh-Feldt2336.4534.000584.113106.558.000Lower-bound2336.4531.0002336.453106.558.000重復

*

group

Sphericity

Assumed837.6278104.70319.101.000Greenhouse-Geisser837.6275.430154.27219.101.000Huynh-Feldt837.6278.000104.70319.101.000Lower-bound837.6272.000418.81319.101.000Error(重復

)

Sphericity

Assumed263.120485.482Greenhouse-Geisser263.12032.5778.077Huynh-Feldt263.12048.0005.482Lower-bound263.12012.00021.927Tests

of

Between-Subjects

EffectsMeasure:

MEASURE_1

Transf

ormed

Variable:

Average

SourceType

II

Sumof

SquaresdfMean

SquareFSig.Intercept1155433.08011155433.08014649.223.000group912.2402456.1205.783.017Error946.4801278.873A，B，C三種麻醉誘導方法在不同時相的收縮壓有差別Pairw

ise

ComparisonsMeasure:

MEASURE

1Mean(I)

group(J)

groupDif

f

erence

(I-J)Std.

ErrorSig.aLower

BoundUpper

Bound方法A方法A方法B-4.8002.512.080-10.273.673方法C-8

520*2

512005-13

993-3

047方法B方法A4.8002.512.080-.67310.273方法B方法C-3.7202.512.164-9.1931.753方法C方法A8.520*2.512.0053.04713.993方法B3.7202.512.164-1.7539.193方法C95%

Conf

idence

Interval

forDif

f

erenceaBased

on

estimated

marginalmeans*.

The

mean

difference

is

signif

icant

at

the

.05

level.a.

Adjustment

for

multiple

comparisons:

LeastSignif

icantDif

ference

(equivalentto

noadjustments).注意事項校正，統(tǒng)計軟1、各組例數(shù)不等時，需件處理已包含此項。2、無平行對照的單組重復測量數(shù)據(jù)分析注意與隨機區(qū)組方差分析的區(qū)別與聯(lián)系。（1）符合“球?qū)ΨQ”，與隨機區(qū)組方差分析等價。（2）