Oakes Irrigation Research
Site
Carrington Research Extension Center * North Dakota State University
P.O. Box 531, Oakes, ND 58474-0531, Voice: (701) 742-2189, FAX: (701)
742-2700, email: rgreenla@ndsuext.nodak.edu
STATISTICS
Statistics are tools used to decide if differences seen between treatments are really different. For example: Joe drank a cup of water from a paper cup and John drank a cup of water from a styrofoam cup. Then they had a pushup contest. Joe did 30 pushups and John did 10 pushups. Can we conclude from this that drinking water from a paper cup helps one do pushups? No! The difference in the number of pushups depended on the strength of each person, not on the cup he drank water from. On the other hand, if Joe drove 30 nails into a log using a hammer and John drove zero nails into a log using a banana, we would conclude that the difference in the number of nails hammered into the log was due to the instrument used. In my studies, each treatment or variety is assigned at random to three or four plots. All plots cause some differences in yields, plant height, etc. The statistics help decide how much of the differences between yields, etc. is due to the plots and how much the treatments or varieties caused. Or, put another way, statistics help determine if the treatments caused enough difference that if the experiments were repeated, under similar conditions and with new plot assignments (or on a farmer's field), the results would be the same.
In the tables of this report, values are given for each variety or treatment. The values may appear different whether the statistics say they are or not. I have used two ways to help the reader know if the values are really (statistically) different. The first is called the LSD (least significant difference). It is placed at the bottom of a column of values and indicates how big a difference there needs to be between values in that column before the difference is "real". For example, in Table 9 there is a column for "yield". At the bottom of the column the LSD is listed as "9.9". Augusta has a value of 26.3 and Blue Pak has a value of 29.4. Since the difference between these two values is less than the LSD (29.4 - 26.3 < 9.9), they are not statistically different. Coleguard has a value of 16.2. That value is statistically different from the value for Augusta because the difference in values is greater than the LSD (26.3 - 16.2 > 9.9). If there are no statistically significant differences between any values in a column, I put an "NS" at the bottom of that column of values. Another way to show whether values are different is with letters placed after the values. Those values that have the same letter (not group of letters) following them are not statistically different. Looking at the column for "number of heads" in Table 11, Cheers has the value 16.7 followed by the letters "a-d" (a-d means all the letters between a and d, inclusive (a,b,c,d)). King Cole has the value of 12.8 followed by the letters "cde". Since at least one of the letters following the value for Cheers also appears after the value for King Cole, the values are not statistically different. CB2 has a "number of heads" value of 10.2 followed by the letter "e". Since the letter following the value for CB2 does not appear after the value for Cheers, these values are statistically different.