Results

Bayesian Repeated Measures ANOVA

Model Comparison
Models P(M) P(M|data) BF M BF 10 error %
Null model (incl. subject) 0.500 7.596e -6 7.596e -6 1.000
Tilt 0.500 1.000 131645.530 131645.530 0.690
Note.  All models include subject

Repeated Measures ANOVA

Within Subjects Effects
  Sum of Squares df Mean Square F p η² p
Tilt 4803 2 2401.30 42.77 < .001 0.826
Residual 1011 18 56.14    
Note.  Type III Sum of Squares
Between Subjects Effects
  Sum of Squares df Mean Square F p η² p
Residual 3770 9 418.9    
Note.  Type III Sum of Squares

Descriptives

Descriptives Plot

Bayesian Paired Samples T-Test

Bayesian Paired Samples T-Test
      BF₊₀ error %
V12 - V28 551.51 NaN
V28 - V45 70.67 ~ 5.775e -5
ᵃ t-value is large. A Savage-Dickey approximation was used to compute the Bayes factor but no error estimate can be given.

Paired Samples T-Test

Paired Samples T-Test
      t df p Mean Difference SE Difference Cohen's d
V12 - V28 6.559 9 < .001 17.23 2.627 2.074
V28 - V45 4.658 9 < .001 13.69 2.940 1.473
Note.  Student's t-test.
Note.  All tests, hypothesis is measurement one greater than measurement two.

Assumption Checks

Test of Normality (Shapiro-Wilk)
      W p
V12 - V28 0.884 0.146
V28 - V45 0.879 0.128
Note.  Significant results suggest a deviation from normality.

Descriptive Statistics

Descriptive Statistics
  V12 V28 V45
Valid 10 10 10
Missing 0 0 0
Mean 59.07 41.84 28.14
Std. Deviation 16.73 14.06 7.323
Minimum 31.25 21.88 18.41
Maximum 81.97 62.80 41.76