Hi this is a very interesting question. My first language was Lithuanian even though I was born in Australia. The Lithuanian language is a highly inflected language in which the relationships between parts of speech and their roles in a sentence are expressed by numerous flexions.
There are 2 grammatical genders in Lithuanian - feminine and masculine. There is no neuter gender per se.It has 5 noun and 3 adjective declensions and 3 verbal conjugations. All verbs have present, past, past iterative and future tenses of the indicative mood, subjunctive (or conditional) and imperative moods (both without distinction of tenses) and infinitive. These forms, except the infinitive, are conjugative, having 2 singular, 2 plural persons and the third person form common both for plural and singular.
Lithuanian has the richest participle system of all Indo-European languages, having participles derived from all tenses with distinct active and passive forms, and several gerund forms.
Nouns and other declinable words are declined in 7 cases: nominative, genitive, dative, accusative, instrumental, locative, and vocative.
Despite this, I can't say that being fluent in Lithuanian has made its people more analytical than others.