The research paper that has used an ANOVA and explain the key reasons why this t
ID: 3126221 • Letter: T
Question
The research paper that has used an ANOVA and explain the key reasons why this technique was used. In particular, discuss what ANOVA offers beyond what other techniques have to offer.
The ANOVA method assesses the relative size of variance among group means (between group variance) compared to the average variance within groups (within group variance). Figure 1 shows two comparative cases which have similar 'between group variances' (the same distance among three group means) but have different 'within group variances'. When the between group variances are the same, mean differences among groups seem more distinct in the distributions with smaller within group variances (a) compared to those with larger within group variances (b). Therefore the ratio of between group variance to within group variance is of the main interest in the ANOVA.
Measurements of bonding strength according to three different types of resin (artificial data)
One-way ANOVA table
Comparative mean bond strength according to different types of resin (display of ANOVA results)
Explanation / Answer
The major advantage of ANOVA is that it can compare more than one treatments. The t test staistic compares differences in mean between two samples and can be reapeatedly performed to obtain the task of ANOVA but it also come swith lot of mathematical headaches and Risk of Type 1 error. Moreover, ANOVA helps in determining how effective the two treatments are and also the durability. The test statistic used (F) tells the researcher how big the difference is between the conditions and whether th eeffect is due to chance.