In an experiment where data from only two rat species are compared, is there any advantage to using a t-test or an ANOVA? Is there a scenario where you may have an advantage using one test over the other?
In an experiment where there are only two samples, we may use any of the two tests - independent samples t-test or an ANOVA because the probability of a type-I error is 0.05 in both cases. There is an advantage in using ANOVA over multiple t-tests when comparing the population mean of more than two samples. This is because if we have three samples and we apply three pairwise comparisons using t-tests, the probability of a type-I error is higher than 0.05 as below:
P(atleast one Type-I error) = 1 - (No type-I error)3 = 1 - 0.953 = 0.142625
As we can see, the probability of a type-I error in performing multiple t-tests are 0.142625 but if we run ANOVA, the error rate of Type-I error is controlled to 0.05 thus making us more confident about the significance of the statistical tests.
In an experiment where data from only two rat species are compared, is there any advantage...
Two species of rat were grown under controlled conditions for 16 days and the following weight gains (in grams) were obtained. If the number is negative, it means the rat lost weight. Species A -23 4 0 -18 7 32 -4 -2 Species B 21 38 20 24 24 58 16 -16 14 28 -5 25 Species A -23 4 0 -18 7 32 -4 -2 Species B 21 38 20 24 24 58 16 -16 14 28 -5 25...
An experiment was carried out to investigate the effect of species (factor A, with I = 4) and grade (factor B, with J = 3) on breaking strength of wood specimens. One observation was made for each species—grade combination—resulting in SSA = 445.0, SSB = 429.6, and SSE = 124.4. Assume that an additive model is appropriate. (a) Test H0: α1 = α2 = α3 = α4 = 0 (no differences in true average strength due to species) versus Ha:...
Question based on inferential statistics. For this you have to take any random data from primary or secondary sources and analyse that data using as much as you can using following 1. Z test 2. T test 3. Correlation and regression 4. ANOVA 5. CHI square test
For the following experiment/question, pick the most appropriate statistical test. You have the following statistical tests as choices: some may be used more than once, others not at all. Assume homogeneity of variance (where applicable) and the validity of parametric tests (where applicable), unless something is directly stated (e.g., “the data are not at all normal”) or otherwise indicated (viz., by the inspection of the data) which would indicate a strong and obvious violation of an assumption. This means you must...
An experiment was carried out to investigate the effect of species (factor A, with I = 4) and grade (factor B, with ) = 3) on breaking strength of wood specimens. One observation was made for each species-grade combination-resulting in SSA = 443.0, SSB = 428.6, and SSE = 122.4. Assume that an additive model is appropriate. (a) Test Ho: a1 = a2 = 03 = 24 = 0 (no differences in true average strength due to species) versus Ha:...
An experiment was carried out to investigate the effect of species (factor A, with I = 4) and grade (factor B, with ) = 3) on breaking strength of wood specimens. One observation was made for each species-grade combination-resulting in SSA = 444.0, SSB = 423.6, and SSE = 127.4. Assume that an additive model is appropriate. (a) Test Ho: a = a 2 = az = Q 4 = 0 (no differences in true average strength due to species)...
Problem 1: Here are data from an experiment studying the effect of age on creativity. Children in different age groupings need to be compared to see if any one group is different than the others when it comes to creativity. Conduct a one way ANOVA to determine the answer (using the steps) Age 4 Age 6 Age 8 Age 10 ave TOTALS 152 598 1332 20 n 10.8 k=4
An experiment was performed where 7 treatments were randomly and equally assigned to 28 exper- imental units. The only information you obtain is that the sample variance among the responses in s2y = 12.3 and the MSE = 7.1. Construct the ANOVA table and test whether there is at least one treatment effect different from zero at the .05 level. 1. An experiment was performed where 7 treatments were randomly and equally assigned to 28 exper- imental units. The only...
The following graphs are for data on the species richness in randomly selected rain forest plots, defined as the number of tree species in a plot divided by the number of trees in the plot. ANOVA may not be trustworthy for this data. PLEASE HELP! The answer is NOT B and D, or B and C. I only have one try left!!!!
13.) Considering two hyphae of equal dimensions: one from a septate species and the other from a coenocytic species. Compared to the coenocytic species, the septate species should have A) fewer pores. B) reduced cytoplasmic streaming C) more nuclei. D) more chit