Biometry questions.

Briefly define the following terms as used in Biometry

1. Treatment
2. Experimental error
3. Error control principle
4. Experimental unit

Given the following random observations on , and . Fit a multiple linear regression line of on and . Test for the significance of the regression line using =0.05.

	-1	-1	-1	1	1	1
	-1	0	1	-1	0	1
	-4	-1	2	1	4	9

An experimenter was investigating the effects of a type of fertilizer on maize performance. He had three different types of fertilizers which he randomized them on 10 different plots with fertilizer I being applied to 3 plots. Fertlizer II being applied to 3 plots and fertilizer III being applied to 4 plots.

1. What kind of experimental design was this?
2. Mention any two advantages and any two disadvantages of this design.
3. The results of the experiment are given below, Is there a significant difference in the types of fertilizers with regards to maize performance?

1. Outline any two advantages and disadvantages of a Randomized Completely Block Design over a completely Randomized Design (CRD).
2. It is suspected that students` performance differe across different methods of teaching. Four teaching methods were randomized to 16 students belonging to four different regions (Morogoro, Dodoma, Kilimanjaro and Mbeya). The regions were introduced to block the perceived variation among students` performance attributable to a student region of origin. The data are as shown below:

1. Test whether the teaching methods are significant.
2. Compare method IV and method I in terms of influencing students` performance
3. Are the blocks significant? What does the result imply?

1. A factorial experiment involving two factors, fertilizers and planting methods was conducted to study the influence of the two factors on maize growth measured in centimetres. Fertilizers had two levels (pork manure versus cattle manure) and planting methods also had two levels (1 foot wide versus 2 fee wide). In total there were 4 treatment combinations each replicated two times and the experiment results are shown below:

1. Find the main effects of planting methods
2. Find the main effects of fertilizers
3. Find the interaction effects between planting methods and fertilizers.

2. A study was done by a third year B,Sc. Education student of Sokoine univeristy of Agriculture to find out the association between teachers intention to deviate from their profession against their age group. The student grouped 110 teachers from different schools in three age groups 20-30, 30-40 and 40-60 and got the number of teachers in each age group intending  and those not intending to deviate as shown in the table below.

Using =5%, what could you conclude from the given observations?

Four different types of beans varieties were compared in terms of yield. It was established that the soil type as well as type of fertilizer affect beans yield. An experimenter decided to use four types of fertilizers(represented by four rows) and four types of fertilizers (represented by columns) and obtained the results as shown below. Notice that the beans varieties are given by capital letters B1, B2, B3 and B4.

1. Test whether the beans varieties are significant in terms of beans yield.
2. Are the fertilizers significant? What is your comment?
3. Are the soil types significant? What is your comment?
4. If you were asked to redesign the experiment, what type of design would you use?