Question 11 wat yet answered Marked out of 1.00 P Flag question In biology, epigenetics is the study of heritable phenotype changes that do not involve alterations in the DNA sequence. One important epigenetic mechanism is DNA methylation of cytosines. This mechanis lus been shown to be related to complex diseases, such as heart diseases, schizophrenia and different cancers, for example at early stages of cancer. For this reason, using large-sclae sequencing to detect geome-wide methylation can be used to early detection of some forms of cancer The data usually come as relative frequencies of methylation. A relative frequency is a variable defined in 0.1). then a beta distributions can be considered a reasonable model. However data can come from different tissues, then we have different levels of methylation (tually categorised into three different broad categories - low, median, and high methylation), then a "mixture of beta distributions can be more suitable When analysing a methylation data. it may be needed to simulate values from mixtures of beta distributions. In this assessment, you are requested to simulate values from a mixture of beta distribution tasing accept/reject sampling and importance sampling Define X a random sariable describing the frequency of methylation X.. X, are tid distributed according to f(x). Define a mixture of three beta distributions as following: Ic=) - Befas 1,6 5) +Be(0:= 3, B = 5) +Belos 10,39 = 5 We want to define ansceepit-reject strategy and an importance satupling to simulate from this distribution In the accept-reject algorithm, the acceptance probability is f(a) Kg) with a given by the mixture of beta densities and g(=) -- Unif(0,1). What is (we three decimal places Answer 1 Din 12 This value of K corresponds to a value of x equal to hoty med Anwwer 0922 13 Question 11 wat yet answered Marked out of 1.00 P Flag question In biology, epigenetics is the study of heritable phenotype changes that do not involve alterations in the DNA sequence. One important epigenetic mechanism is DNA methylation of cytosines. This mechanis lus been shown to be related to complex diseases, such as heart diseases, schizophrenia and different cancers, for example at early stages of cancer. For this reason, using large-sclae sequencing to detect geome-wide methylation can be used to early detection of some forms of cancer The data usually come as relative frequencies of methylation. A relative frequency is a variable defined in 0.1). then a beta distributions can be considered a reasonable model. However data can come from different tissues, then we have different levels of methylation (tually categorised into three different broad categories - low, median, and high methylation), then a "mixture of beta distributions can be more suitable When analysing a methylation data. it may be needed to simulate values from mixtures of beta distributions. In this assessment, you are requested to simulate values from a mixture of beta distribution tasing accept/reject sampling and importance sampling Define X a random sariable describing the frequency of methylation X.. X, are tid distributed according to f(x). Define a mixture of three beta distributions as following: Ic=) - Befas 1,6 5) +Be(0:= 3, B = 5) +Belos 10,39 = 5 We want to define ansceepit-reject strategy and an importance satupling to simulate from this distribution In the accept-reject algorithm, the acceptance probability is f(a) Kg) with a given by the mixture of beta densities and g(=) -- Unif(0,1). What is (we three decimal places Answer 1 Din 12 This value of K corresponds to a value of x equal to hoty med Anwwer 0922 13
