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Single Factor: Completely Randomized Design (CRD): The simplest of all Designs having a random arrangement is the "Completely Randomized Design" . It assumes the complete homogeneity of the experimental material. Examples: Laboratory studies, Green house and Pot culture experiments, animal feeding experiments, Soil moisture and related studies etc. Exercise: The percentage moisture content is determined for ten samples for each of four different soils. Calculate the analysis of variance to obtain an estimate of the sampling variation within a soil and hence calculate the standard error of the mean moisture content of a soil and the standard error of a difference between two such means. Test the hypothesis that there is no variation of soil moisture content between different soils and summarize briefly the conclusions to be drawn from this data (Table value of t for 36 df at 5% level of significance = 2.034, 1% level of significance = 3.599.)
Hints:
The Dialog Box Looks like as follows:
- Click on OK button To see the contents of the first column clearly -Select Column A by clicking > Format >Column >Autofit selection The hypotheses that "there is no variation of soil moisture content between different soils" can be tested by comparing F-Value with F-Critical Value Standard error of mean = Ös /r = s /10 The estimate of standard error of a difference = Ö2s /r = Ö2s /10 Coefficient of Variation % = (standard deviation(s) /mean)*100 CD(55%) = (t (.05) at 36 df ) (SEd) The following data represent the yield of soyabean plants for five treatments grown in six randomized complete blocks. The experiment was conducted in the greenhouse. The five treatments are 20,40,60,80,100 ppm of nitrogen. Yield of soybean in grams per plot Replications
Analyze the data and summarize the results. Hints
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