Advanced Analytics, is the more sophisticated and complex part of the field of analytics, Big Data, Predictive Analytics, Text Analytics, etc. are all essentially advanced analytics.
Predictive analytics encompasses a
variety of statistical techniques, from modeling, machine learning, and data mining that analyze current and historical facts to make predictions about future, or otherwise unknown events (Wikipedia). Advanced analytics refers to future-oriented analyses, that can be used to help drive changes and improvements in business practices. (Whatis). To qualify under Advanced Analytics, there needs to be some level of sophistication but obviously the line between simple and advanced is fuzzy as well.
Predictive Analytics is a type of Advanced Analytics. Predictive analytics refers to the flavor of analytics where current and historical data is exploited using techniques from data mining, statistics, machine learning etc. Advanced Analytics refers to a flavor of analytics under the purview of which, amalgamation of advanced statistical techniques are effective. It encompasses many other techniques other than those being used in Predictive Analytics. Predictive analytic is just one aspect of the broader topic of Advanced analytics. More specifically, Advanced analytics encompasses data mining, predictive analytics, big data analytics, location analytics and so on.
Advanced analytics provides algorithms for complex analysis
of either structured or unstructured data. It includes sophisticated statistical techniques, machine learning, text analytics, and other advanced data mining techniques. Advanced statistical techniques are used to assess the efficacy of certain difficult-to-assess program implementations. They could not be cleanly assessed with the more traditional evaluation approaches. Predictive analytics is essentially a type of advanced analytics. But predictive analytics might also go beyond the type of advanced analytics that looks only at historical data to analyze patterns and relationships in order to predict the future.

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