Normality Assumptions

HDF Apex-Base

Shapiro-Wilk Test
Treatment p.val
Baseline 0.0413
TAC 0.1380
deTAC 0.5250

Baseline is non-normal so will require non-parametric analysis using Kruskal-Wallis

Systolic Peak

Shapiro-Wilk Test
Treatment p.val
Baseline 0.374
TAC 0.539
deTAC 0.128

Systolic Impulse

Shapiro-Wilk Test
Treatment p.val
Baseline 0.7830
TAC 0.6610
deTAC 0.0619

deTAC is non-normal so will require non-parametric analysis using Kruskal-Wallis

Systolic-Diastolic Transition

Shapiro-Wilk Test
Treatment p.val
Baseline 0.0551
TAC 0.6930
deTAC 0.7500

Baseline is just barely normal, should be taken with consideration

## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_qq()`).
## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_qq_line()`).

Diastolic Atrial-Deceleration

Shapiro-Wilk Test
Treatment p.val
Baseline 0.282
TAC 0.659
deTAC 0.687

Atrial Thrust

Shapiro-Wilk Test
Treatment p.val
Baseline 0.776
TAC 0.650
deTAC 0.652

Endocardial Global Longitudinal Strain

Shapiro-Wilk Test
Treatment p.val
Baseline 0.634
TAC 0.747
deTAC 0.960

Ejection Fraction

Shapiro-Wilk Test
Treatment p.val
Baseline 0.7220
TAC 0.0724
deTAC 0.2900

Group Comparison Statistics

Parametric (ANOVA)

Systolic Peak

term df sumsq meansq statistic p.value
Treatment 2.0000 4692.700 2346.3499 13.9322 0.0001
Residuals 21.0000 3536.649 168.4119 NA NA

Systolic-Diastolic Transition

term df sumsq meansq statistic p.value
Treatment 2.0000 310.7736 155.3868 1.1757 0.3290
Residuals 20.0000 2643.2820 132.1641 NA NA

Distolic Atrial-Deceleration

term df sumsq meansq statistic p.value
Treatment 2.0000 225.9875 112.9938 0.3824 0.6869
Residuals 21.0000 6205.0093 295.4766 NA NA

Atrial Thrust

term df sumsq meansq statistic p.value
Treatment 2.0000 63.38836 31.69418 1.2475 0.3077
Residuals 21.0000 533.54123 25.40673 NA NA

Endocardial Global Longitudinal Strain

term df sumsq meansq statistic p.value
Treatment 2.0000 583.9777 291.9889 28.9956 0.0000
Residuals 21.0000 211.4721 10.0701 NA NA

Ejection Fraction

term df sumsq meansq statistic p.value
Treatment 2.0000 2072.967 1036.48358 20.1056 0.0000
Residuals 21.0000 1082.592 51.55202 NA NA

Non-Parametric (Kruskal-Wallis)

HDF Apex-Base

chi-squared df p-value
6.9050 2.0000 0.0317

Systolic Impulse

chi-squared df p-value
15.4850 2.0000 0.0004

Correlation between Groups

## `geom_smooth()` using formula = 'y ~ x'

Pearson Correlation
Treatment r.val
Baseline -0.0486
TAC 0.9080
deTAC 0.3420 
## `geom_smooth()` using formula = 'y ~ x'

Pearson Correlation
Treatment r.val
Baseline -0.801
TAC -0.778
deTAC -0.902 
## `geom_smooth()` using formula = 'y ~ x'

Pearson Correlation
Treatment r.val
Baseline 0.387
TAC -0.607
deTAC -0.201 
## `geom_smooth()` using formula = 'y ~ x'

Pearson Correlation
Treatment r.val
Baseline 0.0524
TAC 0.2450
deTAC -0.1800 
## `geom_smooth()` using formula = 'y ~ x'

Pearson Correlation
Treatment r.val
Baseline 0.363
TAC 0.405
deTAC 0.164

Intertreatment Significance

## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_boxplot()`).
## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_compare_means()`).
## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_signif()`).
## Warning: Removed 1 row containing missing values or values outside the scale range
## (`geom_point()`).
## Warning: Removed 1 row containing missing values or values outside the scale range
## (`geom_text()`).

Power Tests

## 
##      Balanced one-way analysis of variance power calculation 
## 
##          groups = 3
##               n = 8
##     between.var = 0.16
##      within.var = 1
##       sig.level = 0.05
##           power = 0.2467345
## 
## NOTE: n is number in each group
## 
##      Balanced one-way analysis of variance power calculation 
## 
##               k = 3
##               n = 8
##               f = 0.25
##       sig.level = 0.05
##           power = 0.1601016
## 
## NOTE: n is number in each group