. To chave no problem in using Reed-Kellogg diagrams if their use serves as a means to an end. I don’t know about the need for terms for the words that introduce noun clauses or infinitive phrases. I always stress function when analyzing a sentence. We
all know infinitive phrases and noun clauses can be introduced by words functioning as adverbs, adjectives, or pronouns: such words as “where,” “when,” “how,” “which,” “what,” and “whom.” Diagrams actually help me in such situations.
The inside story of how the war on terror turned into a war on American ideals-- “The inside story” is a noun with modifiers, “the,” “inside,” and a prepositional
phrase used as an adjectival modifier (introduced by) “how.” The object of the preposition “of” is the noun clause “the war
on terror turned into a war on American ideals how,” “how” introducing the clause and serving as an adverbial modifier of “turned” or probably of a kind of verb+ combination “turned
into.” Of course the reader has in mind the fact that “how” is a kind of substitute for something like “in what way” or “in what manner.”
In search of how people change--- Pretty much the same, prepositional phrase modifying “search,” introduced by adverb “how,” modifying “change” in the noun clause. “People change how.”
The science of how names shape us-- Same
The science of how applause spreads in an audience--Same
The secrets of how to retire happy—Very similar, except that now “how” introduces an infinitive phrase. An infinitive as a kind of hybrid retains some of its verb features (can be modified by the verb “how” for
example) and can also serve as an adjective, an adverb, or a noun. Here the infinitive phrase is used as a noun as an object of a preposition, the entire prepositional phrase modifying “secrets.”
The art of how to train your dragon—Same. To tame your dragon how, “how” modifying, introducing, “to train”
The basics of how to read a film—Exactly same
I am well aware that I have added nothing new; I have just used, or not used, somewhat different terminology.
gww