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Bimodal distributions, despite their frequent occurrence in data sets, have only rarely been studied [citation needed]. This may be because of the difficulties in estimating their parameters either with frequentist or Bayesian methods. Among those that have been studied are Bimodal exponential distribution. [6] Alpha-skew-normal distribution. [7]
A bimodal distribution would have two high points rather than one. The shape of a distribution is sometimes characterised by the behaviours of the tails (as in a long or short tail). For example, a flat distribution can be said either to have no tails, or to have short tails.
A simple bimodal distribution. Figure 3. A bimodal distribution. Note that only the largest peak would correspond to a mode in the strict sense of the definition of mode. In statistics, a unimodal probability distribution or unimodal distribution is a probability distribution which has a single peak.
The mode of a sample is the element that occurs most often in the collection. For example, the mode of the sample [1, 3, 6, 6, 6, 6, 7, 7, 12, 12, 17] is 6. Given the list of data [1, 1, 2, 4, 4] its mode is not unique. A dataset, in such a case, is said to be bimodal, while a set with more than two modes may be described as multimodal.
Multimethodology or multimethod research includes the use of more than one method of data collection or research in a research study or set of related studies.Mixed methods research is more specific in that it includes the mixing of qualitative and quantitative data, methods, methodologies, and/or paradigms in a research study or set of related studies.
Otsu's method performs well when the histogram has a bimodal distribution with a deep and sharp valley between the two peaks. [6] Like all other global thresholding methods, Otsu's method performs badly in case of heavy noise, small objects size, inhomogeneous lighting and larger intra-class than inter-class variance. [7]
In scientific writing, IMRAD or IMRaD (/ ˈ ɪ m r æ d /) (Introduction, Methods, Results, and Discussion) [1] is a common organizational structure for the format of a document. IMRaD is the most prominent norm for the structure of a scientific journal article of the original research type.
In statistics, response surface methodology (RSM) explores the relationships between several explanatory variables and one or more response variables. RSM is an empirical model which employs the use of mathematical and statistical techniques to relate input variables, otherwise known as factors, to the response.