1. Describe two (2) research scenarios where cluster analysis may be used as the data analysis strategy.

* When a business wants to introduce a new product, it must first determine its target audience. The corporation can discover unique groups of customers that may react differently to the new product by performing a cluster analysis on its customer data (taking factors like age, income, historical purchasing behavior, geographic location, etc. into consideration). For instance, a segment may include high-earning young adults who are early adopters of technology, and they can be targeted with certain marketing techniques.

* Cluster analysis can be used by educational institutions to classify students according to factors including performance, learning preferences, and interests. This can aid in developing effective academic programs, personalizing teaching strategies, and identifying students who may require further support.

2. Describe two (2) research scenarios where one way manova may be used as the data analysis strategy.

* The two dependent variables are “short-term memory recall” and “long-term memory recall,” while the independent variable is “lecture duration,” which has four independent groups: “30 minutes,” “60 minutes,” “90 minutes,” and “120 minutes.” You could use a one-way MANOVA to determine whether there were differences in students’ short-term and long-term recall of facts based on three different lecture lengths.

* 33 participants are divided into three groups at random by the researcher. The first group receives interactive technical dietary information from an online website. Group 2 receives the same information from a nurse practitioner, but group 3 receives it from a video recording produced by the same nurse practitioner. To see if there is a difference between the presentation types, the researcher examines three different ratings of the presentation: difficulty, usefulness, and importance. The researcher is particularly interested in whether the interactive website is better because that is the most economical way to convey the information.

3. Describe two (2) research scenarios where linear discriminant analysis may be used as the data analysis strategy.

* LDA is extremely useful in the medical profession for categorizing patient diseases based on a variety of factors relating to the patient’s health and the current medical treatments. It categorizes disease as mild, moderate, or severe based on these criteria. The doctors can alter the treatment’s pace by using this classification to their advantage.

* Currently, LDA is being used for customer identification. It implies that we may quickly find and choose the features that can specify the demographic of clients who are more likely to buy a particular product in a mall with the aid of LDA. This can be useful if we want to identify a specific demographic of shoppers who tend to buy a particular item in a mall.

4. Describe two (2) research scenarios where factor analysis may be used as the data analysis strategy.

* To find “factors” that can explain a range of test outcomes, factor analysis is performed. For instance, intelligence studies have shown that persons who perform well on verbal aptitude exams also perform well on other verbal aptitude tests. Researchers used factor analysis to identify one factor, commonly referred to as verbal intelligence, which reflects an individual’s capacity to solve challenges involving verbal skills.

* In disciplines including finance, biology, psychology, marketing, operational research, and the like, factor analysis is applied. For instance, when asked about a product’s utility, cost, and durability during surveys regarding consumer satisfaction, respondents may give similar answers.