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date | may | june | july | aug | sep | |||||
1 | 67 | 78 | 84 | 81 | 91 | |||||
2 | 72 | 74 | 85 | 81 | 92 | |||||
3 | 74 | 67 | 81 | 82 | 93 | |||||
4 | 62 | 84 | 84 | 86 | 93 | |||||
5 | 56 | 85 | 83 | 85 | 87 | |||||
6 | 66 | 79 | 83 | 87 | 84 | |||||
7 | 65 | 82 | 88 | 89 | 80 | |||||
Anova: Single Factor | ||||||||||
r | 0.922815279 | |||||||||
SUMMARY | r_err | 0.222419993 | ||||||||
Groups | Count | Sum | Average | Variance | p-value | 0.025441212 | ||||
may | 7 | 462 | 66 | 36.33333333 | ||||||
june | 7 | 549 | 78.42857143 | 39.61904762 | T = A * month + B | |||||
july | 7 | 588 | 84 | 4.666666667 | A | 5.114285714 | ||||
aug | 7 | 591 | 84.42857143 | 9.952380952 | B | 44.48571429 | ||||
sep | 7 | 620 | 88.57142857 | 25.61904762 | ||||||
ANOVA | ||||||||||
Source of Variation | SS | df | MS | F | P-value | F crit | ||||
Between Gro | 2150 | 4 | 537.5 | 23.13012295 | 8.40524E-09 | 2.689627574 | ||||
Within Group | 697.1428571 | 30 | 23.23809524 | |||||||
Total | 2847.142857 | 34 | ||||||||
descriptive st | may | june | july | aug | sep | |||||
5 | 6 | 7 | 8 | 9 | ||||||
Mean | 66 | 78.42857143 | 84 | 84.42857143 | 88.57142857 | |||||
Standard Err | 2.27826166 | 2.379046857 | 0.816496581 | 1.192379431 | 1.913077088 | |||||
Median | 66 | 79 | 84 | 85 | 91 | |||||
Mode | #N/A | #N/A | 84 | 81 | 93 | |||||
Standard De | 6.027713773 | 6.29436634 | 2.160246899 | 3.154739443 | 5.061526214 | |||||
Sample Varia | 36.33333333 | 39.61904762 | 4.666666667 | 9.952380952 | 25.61904762 | |||||
Kurtosis | 0.132362596 | 0.675495793 | 1.885714286 | -1.641212426 | -0.577288871 | |||||
Skewness | -0.357979534 | -1.007883883 | 0.83323809 | 0.161070028 | -0.901178438 | |||||
Range | 18 | 18 | 7 | 8 | 13 | |||||
Minimum | 56 | 67 | 81 | 81 | 80 | |||||
Maximum | 74 | 85 | 88 | 89 | 93 | |||||
Sum | 462 | 549 | 588 | 591 | 620 | |||||
Count | 7 | 7 | 7 | 7 | 7 | |||||
Confidence L | 5.574705445 | 5.821317936 | 1.997895156 | 2.917647355 | 4.68113099 | |||||
2* stnd error | 4.55652332 | 4.758093713 | 1.632993162 | 2.384758862 | 3.826154176 | |||||
graph error bars are 2 * stnd error | ||||||||||
which is about 95% confidence for each mean | ||||||||||
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