| Chapter 11 : Alcohol Barrier in men and women |
| Data Listing |
| Obs | BRAIN | LIVER | TIME | TREAT | DAYS | SEX | WEIGHT | LOSS | TUMOR | ratio |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 41081 | 1456164 | 0.5 | BD | 10 | F | 239 | 5.9 | 221 | 0.02821 |
| 2 | 44286 | 1602171 | 0.5 | BD | 10 | F | 225 | 4.0 | 246 | 0.02764 |
| 3 | 102926 | 1601936 | 0.5 | BD | 10 | F | 224 | -4.9 | 61 | 0.06425 |
| 4 | 25927 | 1776411 | 0.5 | BD | 10 | F | 184 | 9.8 | 168 | 0.01460 |
| 5 | 42643 | 1351184 | 0.5 | BD | 10 | F | 250 | 6.0 | 164 | 0.03156 |
| 6 | 31342 | 1790863 | 0.5 | NS | 10 | F | 196 | 7.7 | 260 | 0.01750 |
| 7 | 22815 | 1633386 | 0.5 | NS | 10 | F | 200 | 0.5 | 27 | 0.01397 |
| 8 | 16629 | 1618757 | 0.5 | NS | 10 | F | 273 | 4.0 | 308 | 0.01027 |
| 9 | 22315 | 1567602 | 0.5 | NS | 10 | F | 216 | 2.8 | 93 | 0.01424 |
| 10 | 77961 | 1060057 | 3.0 | BD | 10 | F | 267 | 2.6 | 73 | 0.07354 |
| 11 | 73178 | 715581 | 3.0 | BD | 10 | F | 263 | 1.1 | 25 | 0.10226 |
| 12 | 76167 | 620145 | 3.0 | BD | 10 | F | 228 | 0.0 | 133 | 0.12282 |
| 13 | 123730 | 1068423 | 3.0 | BD | 9 | F | 261 | 3.4 | 203 | 0.11581 |
| 14 | 25569 | 721436 | 3.0 | NS | 9 | F | 253 | 5.9 | 159 | 0.03544 |
| 15 | 33803 | 1019352 | 3.0 | NS | 10 | F | 234 | 0.1 | 264 | 0.03316 |
| 16 | 24512 | 667785 | 3.0 | NS | 10 | F | 238 | 0.8 | 34 | 0.03671 |
| 17 | 50545 | 961097 | 3.0 | NS | 9 | F | 230 | 7.0 | 146 | 0.05259 |
| 18 | 50690 | 1220677 | 3.0 | NS | 10 | F | 207 | 1.5 | 212 | 0.04153 |
| 19 | 84616 | 48815 | 24.0 | BD | 10 | F | 254 | 3.9 | 155 | 1.73340 |
| 20 | 55153 | 16885 | 24.0 | BD | 10 | M | 256 | -4.7 | 190 | 3.26639 |
| 21 | 48829 | 22395 | 24.0 | BD | 10 | M | 247 | -2.8 | 101 | 2.18035 |
| 22 | 89454 | 83504 | 24.0 | BD | 11 | F | 198 | 4.2 | 214 | 1.07125 |
| 23 | 37928 | 20323 | 24.0 | NS | 10 | F | 237 | 2.5 | 224 | 1.86626 |
| 24 | 12816 | 15985 | 24.0 | NS | 10 | M | 293 | 3.1 | 151 | 0.80175 |
| 25 | 23734 | 25895 | 24.0 | NS | 10 | M | 288 | 9.7 | 285 | 0.91655 |
| 26 | 31097 | 33224 | 24.0 | NS | 11 | F | 236 | 5.9 | 380 | 0.93598 |
| 27 | 35395 | 4142 | 72.0 | BD | 11 | F | 251 | 4.1 | 39 | 8.54539 |
| 28 | 18270 | 2364 | 72.0 | BD | 10 | F | 223 | 4.0 | 153 | 7.72843 |
| 29 | 5625 | 1979 | 72.0 | BD | 10 | M | 298 | 12.8 | 164 | 2.84234 |
| 30 | 7497 | 1659 | 72.0 | BD | 10 | M | 260 | 7.3 | 364 | 4.51899 |
| 31 | 6250 | 928 | 72.0 | NS | 10 | M | 272 | 11.0 | 484 | 6.73491 |
| 32 | 11519 | 2423 | 72.0 | NS | 11 | F | 226 | 2.2 | 168 | 4.75402 |
| 33 | 3184 | 1608 | 72.0 | NS | 10 | M | 249 | -4.4 | 191 | 1.98010 |
| 34 | 1334 | 3242 | 72.0 | NS | 10 | F | 240 | 6.7 | 159 | 0.41147 |
| Chapter 11 : Alcohol Barrier in men and women |
| Plot of the raw data with treatment variable |
Plot of ratio*TIME. Symbol is value of TREAT.
ratio |
|
9 +
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| B
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8 +
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7 +
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6 +
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4 +
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3 +
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2 + N
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1 + B
| N
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| N
| B
0 + B B
|
---+------------+------------+------------+------------+------------+------------+------------+------------+--
0 10 20 30 40 50 60 70 80
TIME
NOTE: 18 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Plot of the raw data with treatment variable |
Plot of ratio*TREAT. Symbol is value of TIME.
ratio |
|
9 +
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| 7
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8 +
| 7
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7 +
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1 + 2 2
| 2
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| 7
| 3
0 + 0 0
|
---+----------------------------------------------------------------------------------+--
BD NS
TREAT
NOTE: 16 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with GLM |
| Class Level Information | ||
|---|---|---|
| Class | Levels | Values |
| TREAT | 2 | BD NS |
| SEX | 2 | F M |
| Number of Observations Read | 34 |
|---|---|
| Number of Observations Used | 34 |
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with GLM |
| Source | DF | Sum of Squares | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| Model | 8 | 137.5198271 | 17.1899784 | 9.68 | <.0001 |
| Error | 25 | 44.3885877 | 1.7755435 | ||
| Corrected Total | 33 | 181.9084147 |
| R-Square | Coeff Var | Root MSE | ratio Mean |
|---|---|---|---|
| 0.755984 | 88.61808 | 1.332495 | 1.503638 |
| Source | DF | Type I SS | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| TIME | 1 | 119.3889310 | 119.3889310 | 67.24 | <.0001 |
| TREAT | 1 | 5.7449314 | 5.7449314 | 3.24 | 0.0841 |
| TIME*TREAT | 1 | 7.8813055 | 7.8813055 | 4.44 | 0.0453 |
| DAYS | 1 | 1.5065660 | 1.5065660 | 0.85 | 0.3658 |
| SEX | 1 | 0.2458716 | 0.2458716 | 0.14 | 0.7129 |
| WEIGHT | 1 | 0.0371290 | 0.0371290 | 0.02 | 0.8862 |
| LOSS | 1 | 0.6289360 | 0.6289360 | 0.35 | 0.5571 |
| TUMOR | 1 | 2.0861565 | 2.0861565 | 1.17 | 0.2887 |
| Source | DF | Type III SS | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| TIME | 1 | 71.73825380 | 71.73825380 | 40.40 | <.0001 |
| TREAT | 1 | 0.00185100 | 0.00185100 | 0.00 | 0.9745 |
| TIME*TREAT | 1 | 10.14595894 | 10.14595894 | 5.71 | 0.0247 |
| DAYS | 1 | 0.45433115 | 0.45433115 | 0.26 | 0.6174 |
| SEX | 1 | 0.86083198 | 0.86083198 | 0.48 | 0.4927 |
| WEIGHT | 1 | 0.00406787 | 0.00406787 | 0.00 | 0.9622 |
| LOSS | 1 | 1.98775141 | 1.98775141 | 1.12 | 0.3001 |
| TUMOR | 1 | 2.08615646 | 2.08615646 | 1.17 | 0.2887 |
| Parameter | Estimate | Standard Error | t Value | Pr > |t| | |
|---|---|---|---|---|---|
| Intercept | -3.920378452 | B | 6.88309844 | -0.57 | 0.5741 |
| TIME | 0.047642506 | B | 0.01335143 | 3.57 | 0.0015 |
| TREAT BD | -0.019592226 | B | 0.60680108 | -0.03 | 0.9745 |
| TREAT NS | 0.000000000 | B | . | . | . |
| TIME*TREAT BD | 0.039949673 | B | 0.01671215 | 2.39 | 0.0247 |
| TIME*TREAT NS | 0.000000000 | B | . | . | . |
| DAYS | 0.298264463 | 0.58963182 | 0.51 | 0.6174 | |
| SEX F | 0.546097231 | B | 0.78428957 | 0.70 | 0.4927 |
| SEX M | 0.000000000 | B | . | . | . |
| WEIGHT | 0.000523527 | 0.01093757 | 0.05 | 0.9622 | |
| LOSS | -0.071348343 | 0.06743238 | -1.06 | 0.3001 | |
| TUMOR | 0.003112604 | 0.00287155 | 1.08 | 0.2887 |
| The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable. |
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
Plot of resid*yhat. Symbol is value of TREAT.
resid |
|
4 +
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| N
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3 +
|
| B
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2 +
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| B
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1 + B N
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| BN N B
| B NN
0 +-----------NBB------------------------------------------------------------------------------
| BBN B
| N
| N
-1 + N
|
| B N B
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-2 +
| B
|
| N
-3 +
|
--+----------+----------+----------+----------+----------+----------+----------+----------+--
-1 0 1 2 3 4 5 6 7
yhat
NOTE: 7 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
Plot of student*yhat. Symbol is value of TREAT.
student |
|
4 +
|
|
| N
3 +
|
|
| B
2 +------------------------------------------------------------------------------------------
|
| B
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1 + B N
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| B
| N B NN N B
0 + NBB
| BBN B
| N N
|
-1 + N
| B
| N B
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-2 +
| B
|
| N
-3 +
|
-+----------+----------+----------+----------+----------+----------+----------+----------+-
-1 0 1 2 3 4 5 6 7
yhat
NOTE: 7 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
Plot of rstudent*yhat. Symbol is value of TREAT.
rstudent |
6 +
|
|
|
|
| N
4 +
|
|
|
| B
|
2 +-----------------------------------------------------------------------------------------
| B
|
| B N
|
| BN N NN N B
0 + BNBB B
| BBN B
| N
| N
| B
| N B
-2 +
| B
|
| N
|
|
-4 +
|
-+----------+----------+----------+----------+----------+----------+----------+----------+
-1 0 1 2 3 4 5 6 7
yhat
NOTE: 6 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
Plot of leverage*yhat. Symbol is value of TREAT.
leverage |
0.6 +
|
|-----------------------------------------------------------------------------------------
|
|
0.5 +
|
|
| B N B
| N B
0.4 +
| N BB
| N
| N
| B N
0.3 + N B
| N B
| N B
| N N
| N
0.2 + B B N
| NB
|
| B B B N
|
0.1 + B N B
|
|
|
|
0.0 +
|
-+----------+----------+----------+----------+----------+----------+----------+----------+
-1 0 1 2 3 4 5 6 7
yhat
NOTE: 1 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
Plot of cookd*yhat. Symbol is value of TREAT.
cookd |
1.0 +--------------------------------------------------------------------------------------------
|
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| N
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0.8 +
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0.6 +
|
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| N B
| B
0.4 +
|
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0.2 + N
| BB
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| N B
| B B N
0.0 + NN BNBB BBNNNN N B B
|
--+----------+----------+----------+----------+----------+----------+----------+----------+--
-1 0 1 2 3 4 5 6 7
yhat
NOTE: 7 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
Plot of dffits*yhat. Symbol is value of TREAT.
dffits |
|
4 +
| N
|
|
3 +
|
|
| B
2 +
|
|
| B
1 +-------------------------------------------------------------------------------------------
| B N
| B
| NN N B
0 + BNBB BBN N N B
| N N
|
| N B
-1 +
| B
| N
|
-2 +
| N B
|
|
-3 +
|
--+----------+----------+----------+----------+----------+----------+----------+----------+-
-1 0 1 2 3 4 5 6 7
yhat
NOTE: 6 obs hidden.
|
| Chapter 11 : Alcohol Barrier in men and women |
| Various plot with group variable |
| Moments | |||
|---|---|---|---|
| N | 34 | Sum Weights | 34 |
| Mean | 0 | Sum Observations | 0 |
| Std Deviation | 1.15978822 | Variance | 1.34510872 |
| Skewness | 0.28318382 | Kurtosis | 2.18250796 |
| Uncorrected SS | 44.3885877 | Corrected SS | 44.3885877 |
| Coeff Variation | . | Std Error Mean | 0.19890204 |
| Basic Statistical Measures | |||
|---|---|---|---|
| Location | Variability | ||
| Mean | 0.000000 | Std Deviation | 1.15979 |
| Median | 0.076283 | Variance | 1.34511 |
| Mode | . | Range | 6.14799 |
| Interquartile Range | 0.76299 | ||
| Tests for Location: Mu0=0 | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Student's t | t | 0 | Pr > |t| | 1.0000 |
| Sign | M | 4 | Pr >= |M| | 0.2295 |
| Signed Rank | S | 16.5 | Pr >= |S| | 0.7826 |
| Tests for Normality | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Shapiro-Wilk | W | 0.926874 | Pr < W | 0.0254 |
| Kolmogorov-Smirnov | D | 0.178598 | Pr > D | <0.0100 |
| Cramer-von Mises | W-Sq | 0.22324 | Pr > W-Sq | <0.0050 |
| Anderson-Darling | A-Sq | 1.153363 | Pr > A-Sq | <0.0050 |
| Quantiles (Definition 5) | |
|---|---|
| Quantile | Estimate |
| 100% Max | 3.3783193 |
| 99% | 3.3783193 |
| 95% | 2.3914476 |
| 90% | 1.0607492 |
| 75% Q3 | 0.3920070 |
| 50% Median | 0.0762833 |
| 25% Q1 | -0.3709844 |
| 10% | -1.5512254 |
| 5% | -2.2601855 |
| 1% | -2.7696660 |
| 0% Min | -2.7696660 |
| Extreme Observations | |||
|---|---|---|---|
| Lowest | Highest | ||
| Value | Obs | Value | Obs |
| -2.76967 | 34 | 0.932867 | 32 |
| -2.26019 | 29 | 1.060749 | 20 |
| -1.57859 | 30 | 1.525437 | 28 |
| -1.55123 | 33 | 2.391448 | 27 |
| -1.38809 | 22 | 3.378319 | 31 |
Stem Leaf # Boxplot Normal Probability Plot
3 4 1 * 3.25+ *
2 | ++++
2 4 1 0 | *++++
1 5 1 | | +*+++
1 1 1 | | +++*
0 5559 4 | | ++++ **
0 0000112222444 13 +--+--+ 0.25+ *************
-0 443322 6 +-----+ | ******++
-0 7 1 | | **++++
-1 40 2 | | +*++
-1 66 2 0 | +++*+*
-2 3 1 0 | ++++*
-2 8 1 * -2.75+++++*
----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
| Number of Observations Read | 34 |
|---|---|
| Number of Observations Used | 34 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 8 | 137.51983 | 17.18998 | 9.68 | <.0001 |
| Error | 25 | 44.38859 | 1.77554 | ||
| Corrected Total | 33 | 181.90841 | |||
| Root MSE | 1.33250 | R-Square | 0.7560 |
|---|---|---|---|
| Dependent Mean | 1.50364 | Adj R-Sq | 0.6779 |
| Coeff Var | 88.61808 |
| Parameter Estimates | |||||
|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| |
| Intercept | 1 | -3.92038 | 6.88310 | -0.57 | 0.5741 |
| TIME | 1 | 0.04764 | 0.01335 | 3.57 | 0.0015 |
| treatment | 1 | -0.01959 | 0.60680 | -0.03 | 0.9745 |
| timeXtreat | 1 | 0.03995 | 0.01671 | 2.39 | 0.0247 |
| DAYS | 1 | 0.29826 | 0.58963 | 0.51 | 0.6174 |
| sex2 | 1 | 0.54610 | 0.78429 | 0.70 | 0.4927 |
| WEIGHT | 1 | 0.00052353 | 0.01094 | 0.05 | 0.9622 |
| LOSS | 1 | -0.07135 | 0.06743 | -1.06 | 0.3001 |
| TUMOR | 1 | 0.00311 | 0.00287 | 1.08 | 0.2887 |
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
------+---------+---------+---------+---------+---------+---------+---------+---------+------
ratio | |
4 + +
| |
| 1 |
| |
| |
| 1 |
| |
2 + +
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| 1 |
| 1 1 |
| |
| 1 1 |
| 11 1 1 1 1 1 1 1 1 |
0 + 1 2 +
| 1 1 2 1 1 |
| 1 1 1 |
| |
| 1 |
| |
| 1 1 |
-2 + +
| 1 |
| |
| 1 |
| |
| |
| |
-4 + +
------+---------+---------+---------+---------+---------+---------+---------+---------+------
-0.08 -0.06 -0.04 -0.02 0.00 0.02 0.04 0.06 0.08
Intercept
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
ratio | |
| |
6 + +
| |
| |
| 1 |
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4 + +
| |
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| 1 |
| 1 1 |
2 + +
| |
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| 1 1 |
| 1 1 11 1 |
0 + 1 21 11 2 +
| 1 2 11 1 1 |
| 1 |
| 1 |
| 1 11 |
-2 + 1 1 +
| 1 |
| |
| |
| |
-4 + +
| |
| |
------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
-25 -20 -15 -10 -5 0 5 10 15 20 25 30 35 40 45 50 55
TIME
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-------
ratio | |
4 + +
| |
| 1 |
| |
| |
| |
| 1 |
2 + +
| |
| 1 |
| 1 |
| 1 |
| 1 1 1 |
| 11 2 1 1 1 |
0 + 1 1 1 1 2 +
| 1 1 1 1 1 1 |
| 1 |
| 1 |
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| 1 1 |
| 1 |
-2 + +
| 1 |
| |
| 1 |
| |
| |
| |
-4 + +
-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-------
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
treatment
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
----+------+------+------+------+------+------+------+------+------+------+------+------+----
ratio | |
4 + +
| |
| |
| 1 |
| |
| 1 1 |
| |
2 + +
| |
| 1 |
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| 1 |
| 1 1 111 |
| 1 1 1 1 |
0 + 1 1 1 1 +
| 1 1 2 1 1 |
| 1 1 11 1 |
| 1 |
| |
| 1 |
| 1 |
-2 + +
| 1 |
| |
| |
| |
| |
| 1 |
-4 + +
----+------+------+------+------+------+------+------+------+------+------+------+------+----
-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30
timeXtreat
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
-+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-
ratio | |
4 + +
| |
| 1 |
| |
| |
| 1 |
| |
2 + +
| |
| 1 |
| 1 1 |
| |
| 1 1 1 |
| 1 1 11 1 12 1 |
0 + 1 1 1 +
|1 1121 1 |
| 1 |
| 1 |
| 1 |
| |
| 1 1 |
-2 + +
| 1 |
| |
| 1 |
| |
| |
| |
-4 + +
-+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-
-0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
DAYS
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
----+------+------+------+------+------+------+------+------+------+------+------+------+----
ratio | |
4 + +
| |
| 1 |
| |
| |
| 1 |
| |
2 + +
| 1 |
| |
| 1 |
| 1 |
| 1 1 1 |
| 1 1 1 1 1 |
0 + 1 1 1 1 1 1 1 1 1 +
| 1 3 1 |
| 1 |
| 1 |
| |
| 1 |
| 1 1 |
-2 + +
| 1 |
| 1 |
| |
| |
| |
| |
-4 + +
----+------+------+------+------+------+------+------+------+------+------+------+------+----
-0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5
sex2
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
-------+------+------+------+------+------+------+------+------+------+------+------+--------
ratio | |
4 + +
| |
| 1 |
| |
| |
| |
| 1 |
2 + +
| |
| 1 |
| 1 |
| 1 |
| 1 1 1 |
| 1 1 1 1 1 1 1 |
0 + 1 1 1 1 1 1 +
| 1 1 2 1 1 |
| 1 |
| 1 |
| |
| 1 1 |
| 1 |
-2 + +
| 1 |
| |
| 1 |
| |
| |
| |
-4 + +
-------+------+------+------+------+------+------+------+------+------+------+------+--------
-60 -50 -40 -30 -20 -10 0 10 20 30 40 50
WEIGHT
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
ratio | |
4 + +
| |
| |
| 1 |
| |
| |
| 1 |
2 + +
| 1 |
| 1 |
| |
| 1 |
| 11 |
| 1 1 1 1 |
0 + 1 1 1 1 1 11 1 1 1 +
| 1 1 1 1 1 1 1 |
| |
| 1 |
| 1 |
| 1 1 |
| |
-2 + +
| |
| |
| 1 1 |
| |
| |
| |
-4 + +
------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
LOSS
|
| Chapter 11 : Alcohol Barrier in men and women |
| Fit of ratio on indicator variables with REG |
----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
ratio | |
4 + +
| 1 |
| |
| |
| |
| |
| |
2 + 1 +
| 1 |
| |
| 1 |
| 1 |
| 1 |
| 1 111 1 1 |
0 + 1 1 1 1 1 1 1 +
| 1 1 1 1 1 11 1 1 |
| 1 |
| |
| 1 |
| 1 1 |
| |
-2 + +
| |
| 1 |
| |
| 1 |
| |
| |
-4 + +
----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
-140 -120 -100 -80 -60 -40 -20 0 20 40 60 80 100 120 140
TUMOR
|