| Chapter 9 : The effect of light on Meadowfoam flowering |
| Raw data Listing |
| Obs | FLOWERS | TIME | INTENSity | Time0 | TimeName |
|---|---|---|---|---|---|
| 1 | 62.3000 | 1 | 150 | 0 | Late |
| 2 | 77.4000 | 1 | 150 | 0 | Late |
| 3 | 55.3000 | 1 | 300 | 0 | Late |
| 4 | 54.2000 | 1 | 300 | 0 | Late |
| 5 | 49.6000 | 1 | 450 | 0 | Late |
| 6 | 61.9000 | 1 | 450 | 0 | Late |
| 7 | 39.4000 | 1 | 600 | 0 | Late |
| 8 | 45.7000 | 1 | 600 | 0 | Late |
| 9 | 31.3000 | 1 | 750 | 0 | Late |
| 10 | 44.9000 | 1 | 750 | 0 | Late |
| 11 | 36.8000 | 1 | 900 | 0 | Late |
| 12 | 41.9000 | 1 | 900 | 0 | Late |
| 13 | 77.8000 | 2 | 150 | 1 | Early |
| 14 | 75.6000 | 2 | 150 | 1 | Early |
| 15 | 69.1000 | 2 | 300 | 1 | Early |
| 16 | 78.0000 | 2 | 300 | 1 | Early |
| 17 | 57.0000 | 2 | 450 | 1 | Early |
| 18 | 71.1000 | 2 | 450 | 1 | Early |
| 19 | 62.9000 | 2 | 600 | 1 | Early |
| 20 | 52.2000 | 2 | 600 | 1 | Early |
| 21 | 60.3000 | 2 | 750 | 1 | Early |
| 22 | 45.6000 | 2 | 750 | 1 | Early |
| 23 | 52.6000 | 2 | 900 | 1 | Early |
| 24 | 44.4000 | 2 | 900 | 1 | Early |
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Plot of the raw data |
Plot of FLOWERS*INTENSity. Symbol is value of TimeName.
FLOWERS |
|
80 +
| E E
| L
| E
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| E
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| E
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| E
| L L
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| L L E
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40 + L
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| L
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30 +
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---+----------------+----------------+----------------+----------------+----------------+--
150 300 450 600 750 900
INTENSity
NOTE: 2 obs hidden.
|
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Initial fit of the raw data to TIME |
| Number of Observations Read | 24 |
|---|---|
| Number of Observations Used | 24 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 1 | 886.95034 | 886.95034 | 5.65 | 0.0265 |
| Error | 22 | 3450.98592 | 156.86300 | ||
| Corrected Total | 23 | 4337.93627 | |||
| Root MSE | 12.52450 | R-Square | 0.2045 |
|---|---|---|---|
| Dependent Mean | 56.13750 | Adj R-Sq | 0.1683 |
| Coeff Var | 22.31039 |
| Parameter Estimates | |||||
|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| |
| Intercept | 1 | 37.90000 | 8.08453 | 4.69 | 0.0001 |
| TIME | 1 | 12.15833 | 5.11310 | 2.38 | 0.0265 |
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Initial fit of the raw data to INTENSITY |
| Number of Observations Read | 24 |
|---|---|
| Number of Observations Used | 24 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 1 | 2579.75004 | 2579.75004 | 32.28 | <.0001 |
| Error | 22 | 1758.18622 | 79.91756 | ||
| Corrected Total | 23 | 4337.93627 | |||
| Root MSE | 8.93966 | R-Square | 0.5947 |
|---|---|---|---|
| Dependent Mean | 56.13750 | Adj R-Sq | 0.5763 |
| Coeff Var | 15.92458 |
| Parameter Estimates | |||||
|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| |
| Intercept | 1 | 77.38500 | 4.16119 | 18.60 | <.0001 |
| INTENSity | 1 | -0.04047 | 0.00712 | -5.68 | <.0001 |
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Plot of the raw data |
Plot of resid*INTENSity. Symbol is value of TimeName.
resid |
|
15 +
|
| E E
| E E
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10 + E
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| L
5 +
| E E
| L E
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-5 +
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| L
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-20 +
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---+----------------+----------------+----------------+----------------+----------------+--
150 300 450 600 750 900
INTENSity
NOTE: 1 obs hidden.
|
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Multiple regression |
| Number of Observations Read | 24 |
|---|---|
| Number of Observations Used | 24 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 2 | 3466.70039 | 1733.35019 | 41.78 | <.0001 |
| Error | 21 | 871.23588 | 41.48742 | ||
| Corrected Total | 23 | 4337.93627 | |||
| Root MSE | 6.44107 | R-Square | 0.7992 |
|---|---|---|---|
| Dependent Mean | 56.13750 | Adj R-Sq | 0.7800 |
| Coeff Var | 11.47374 |
| Parameter Estimates | |||||
|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| |
| Intercept | 1 | 59.14750 | 4.95447 | 11.94 | <.0001 |
| INTENSity | 1 | -0.04047 | 0.00513 | -7.89 | <.0001 |
| TIME | 1 | 12.15833 | 2.62956 | 4.62 | 0.0001 |
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Multiple regression |
| Plot of residuals |
Plot of resid*INTENSity. Symbol is value of TimeName.
resid |
15 +
|
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| L
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10 +
| L
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| E
| E L
| E E
5 +
| L
| E
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0 +--E---------------------------------------------------------------------------------------
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| E L
| E E
| L L
| L
-5 + L
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| E
| L E
| E
|
-10 + L
|
---+----------------+----------------+----------------+----------------+----------------+--
150 300 450 600 750 900
INTENSity
|
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Multiple regression |
| Plot of residuals |
Plot of resid*YHat. Symbol is value of TIME.
resid |
15 +
|
|
| 1
|
|
10 +
| 1
|
| 2
| 1 2
| 2 2
5 +
| 1
| 2
|
| 1
|
0 +-----------------------------------------------------------------------------------------------2--------
|
| 1 2
| 2 2
| 1 1
| 1
-5 + 1
|
| 2
| 1 2
| 2
|
-10 + 1
|
---+----------+----------+----------+----------+----------+----------+----------+----------+----------+--
35 40 45 50 55 60 65 70 75 80
YHat
|
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Multiple regression |
| Plot of residuals |
| Moments | |||
|---|---|---|---|
| N | 24 | Sum Weights | 24 |
| Mean | 0 | Sum Observations | 0 |
| Std Deviation | 6.15465847 | Variance | 37.8798209 |
| Skewness | 0.21089332 | Kurtosis | -1.0360321 |
| Uncorrected SS | 871.23588 | Corrected SS | 871.23588 |
| Coeff Variation | . | Std Error Mean | 1.2563144 |
| Basic Statistical Measures | |||
|---|---|---|---|
| Location | Variability | ||
| Mean | 0.00000 | Std Deviation | 6.15466 |
| Median | -1.55821 | Variance | 37.87982 |
| Mode | . | Range | 21.81715 |
| Interquartile Range | 10.11845 | ||
| Tests for Location: Mu0=0 | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Student's t | t | 0 | Pr > |t| | 1.0000 |
| Sign | M | -1 | Pr >= |M| | 0.8388 |
| Signed Rank | S | -2 | Pr >= |S| | 0.9559 |
| Tests for Normality | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Shapiro-Wilk | W | 0.955588 | Pr < W | 0.3563 |
| Kolmogorov-Smirnov | D | 0.126766 | Pr > D | >0.1500 |
| Cramer-von Mises | W-Sq | 0.068129 | Pr > W-Sq | >0.2500 |
| Anderson-Darling | A-Sq | 0.405333 | Pr > A-Sq | >0.2500 |
| Quantiles (Definition 5) | |
|---|---|
| Quantile | Estimate |
| 100% Max | 12.16488 |
| 99% | 12.16488 |
| 95% | 8.80631 |
| 90% | 7.18940 |
| 75% Q3 | 5.70405 |
| 50% Median | -1.55821 |
| 25% Q1 | -4.41441 |
| 10% | -7.62298 |
| 5% | -8.25202 |
| 1% | -9.65226 |
| 0% Min | -9.65226 |
| Extreme Observations | |||
|---|---|---|---|
| Lowest | Highest | ||
| Value | Obs | Value | Obs |
| -9.65226 | 9 | 6.67726 | 16 |
| -8.25202 | 17 | 7.01845 | 12 |
| -7.62298 | 7 | 7.18940 | 21 |
| -7.51060 | 22 | 8.80631 | 6 |
| -6.98131 | 20 | 12.16488 | 2 |
Stem Leaf # Boxplot Normal Probability Plot
12 2 1 | 13+ *+++
10 | | +++
8 8 1 | | ++*+
6 702 3 | | **+*
4 68 2 +-----+ | **++
2 79 2 | | | **+
0 49 2 | + | | ++**
-0 83 2 *-----* | ++* *
-2 95962 5 | | | *****
-4 0 1 +-----+ | ++*
-6 650 3 | | *+**
-8 73 2 | -9+ * +*++
----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
|
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Analysis of Covariance |
| Number of Observations Read | 24 |
|---|---|
| Number of Observations Used | 24 |
| Chapter 9 : The effect of light on Meadowfoam flowering |
| Analysis of Covariance |
| Source | DF | Sum of Squares | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| Model | 3 | 3467.276422 | 1155.758807 | 26.55 | <.0001 |
| Error | 20 | 870.659845 | 43.532992 | ||
| Corrected Total | 23 | 4337.936267 |
| R-Square | Coeff Var | Root MSE | FLOWERS Mean |
|---|---|---|---|
| 0.799292 | 11.75320 | 6.597954 | 56.13750 |
| Source | DF | Type I SS | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| INTENSity | 1 | 2579.750045 | 2579.750045 | 59.26 | <.0001 |
| Time0 | 1 | 886.950342 | 886.950342 | 20.37 | 0.0002 |
| INTENSity*Time0 | 1 | 0.576035 | 0.576035 | 0.01 | 0.9096 |
| Source | DF | Type III SS | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| INTENSity | 1 | 1328.712043 | 1328.712043 | 30.52 | <.0001 |
| Time0 | 1 | 153.216013 | 153.216013 | 3.52 | 0.0753 |
| INTENSity*Time0 | 1 | 0.576035 | 0.576035 | 0.01 | 0.9096 |
| Parameter | Estimate | Standard Error | t Value | Pr > |t| |
|---|---|---|---|---|
| Intercept | 71.62333349 | 4.34330481 | 16.49 | <.0001 |
| INTENSity | -0.04107619 | 0.00743505 | -5.52 | <.0001 |
| Time0 | 11.52333336 | 6.14236056 | 1.88 | 0.0753 |
| INTENSity*Time0 | 0.00120952 | 0.01051475 | 0.12 | 0.9096 |