ANOVA and CHI SQUARE

 

In your own words, please define ANOVA. Define and explain the concepts of population variance, the total sum of squares, the sum of squares between, and the sum of squares within, mean square estimates and post hoc tests. Explain the difference between the statistical significance and the importance of relationships between variables.

In your own words, please define CHI SQUARE. Explain the structure of a bivariate table and the concept of independence as applied to expected and observed frequencies in a bivariate table. Explain the logic of hypothesis testing in terms of chi-square.

You must cite and reference at least one additional source, other than the readings assignments. Please cite and reference in APA

Do not copy word for word from your textbook, or any other source.

Heading 2: ANOVA Application

Three different sections of the same Interstate highway, with roughly equal traffic volumes, have been patrolled by the State Police at different levels of intensity for the past six months. The posted speed limit is 55 and the speeds of a random sample of motorists have been registered for each of the three sections. Using this fake SPSS database Patrol Intensity Download Patrol Intensity run an One-Way ANOVA Test to determine if there is statistically significant difference in the speeds?

 

Sample Solution

Analysis of variance (ANOVA) is a statistical test used to analyze the difference between the means of more than two groups. The strategy behind an ANOVA test relies on estimating the common population variance in two different ways: 1) through the mean of the sample variances – called the variance within samples and denoted s2w, and 2) through the variance of the sample means – called the variance between samples and denoted s2b. The sum of squares of the residual error is the variation attributed to the error. Converting the sum squares into mean squares by dividing by the degrees of freedom lets you compare these ratios and determine whether there is a significant difference due to detergent.

ntracellular transport is carried out by three sets of molecular motors: myosins, kinesins and dyneins. Myosins move on microfilaments and are thought to be responsible for short range transport, whereas kinesin and dynein proteins use microtubules as tracks for long distance transport and are capable of recognizing the microtubule polarity (36). A number of studies have shown that most kinesin-family motors move towards the plus-end of the microtubules that are usually used to deliver cargos towards the synapse. On the contrary, dynein moves in the opposite direction for transport toward the cell body (37). Kinesins and dyneins have “motor domains” that travel along the microtubules in a distinct direction by using the energy resultant from ATP hydrolysis.

Kinesins are microtubule based anterograde intracellular transport motors (Figure 1). Newly synthesized components at cell body indispensable for neuronal function and maintenance are transported anterogradely from the soma to nerve terminals. Ultrastructural studies have demonstrated many small vesicles, tubulo-vesicular structures, mitochondria and dense-core vesicles move along the axon by fast anterograde transport (38). Components transported in fast anterograde transport are required not only for the supply and turnover of intracellular membrane compartments such as mitochondria, but also for the transport of proteins required for the maintenance of axonal metabolism (3). Conventional kinesins usually form a protein dimer of two identical heavy chains and each of them binds to a kinesin light chain. The heavy chain contains a highly conserved globular head called motor domain, which includes a microtubule-binding site and an ATP-binding/hydrolysis site, a short, flexible neck linker, a stalk domain, which has a long, central coiled-coil region for dimerization and a tail domain for light chain and cargo binding (39). Kinesin move in a hand-over-hand mechanism over long distances along the microtubuleprior to detaching, allowing a very efficient cargo transport (40).

In opposition to anterograde axonal transport, which can be carried out by several different kinesin motor proteins, cytoplasmic dynein is the major motor protein responsible retrograde transport (Figure 1). Cytoplasmic dynein is a multi-subunit complex containing light chains, light intermediate chains and two heavy chains that bind microtubules. The heavy chains contain ATPase activity and are therefore responsible for generating movement along the axon microtubules, while the other chains are involved in cargo binding and binding to dynactin (41). The overall motility tendency is pointed toward microtubule minus end, but the ability of dynein to change directions may allow it to contour obstacles encountered along the axon during transport. Studies on dynein demonstrate that this motor protein wanders along the microtubule, and frequentl

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